{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [],
   "source": [
    "# Reference: https://jupyterbook.org/interactive/hiding.html\n",
    "# Use {hide, remove}-{input, output, cell} tags to hiding content\n",
    "\n",
    "import sys\n",
    "import os\n",
    "if not any(path.endswith('textbook') for path in sys.path):\n",
    "    sys.path.append(os.path.abspath('../../..'))\n",
    "from textbook_utils import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [],
   "source": [
    "csv_file = 'data/Full24hrdataset.csv'\n",
    "usecols = ['Date', 'ID', 'region', 'PM25FM', 'PM25cf1', 'RH']\n",
    "full = (pd.read_csv(csv_file, usecols=usecols, parse_dates=['Date'])\n",
    "        .dropna())\n",
    "full.columns = ['date', 'id', 'region', 'pm25aqs', 'pm25pa', 'rh']\n",
    "\n",
    "bad_dates = ['2019-08-21', '2019-08-22', '2019-09-24']\n",
    "GA = full.loc[(full['id'] == 'GA1') & (~full['date'].isin(bad_dates)) , :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "y = GA['pm25pa']\n",
    "X = GA[['pm25aqs', 'rh']]\n",
    "\n",
    "model2 = LinearRegression().fit(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "# Bootstrapping for Inference\n",
    "\n",
    "In many hypothesis tests the assumptions of the null hypothesis lead to a complete specification of a hypothetical population and data design (see {numref}`Figure %s  <triptych>`), and we use this specification to simulate the sampling distribution of a statistic.  For example, the rank test for the Wikipedia experiment led us to sampling the integers 1, ..., 200, which we easily simulated.  Unfortunately, we can't always specify the population and  model completely. To remedy the situation, we substitute the data for the population. This substitution is at the heart of the notion of the bootstrap. {numref}`Figure %s  <boot-triptych>` updates {numref}`Figure %s  <triptych>` to reflect this idea; here the population distribution is replaced by the empirical distribution to create what is called the *bootstrap population*. \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "```{figure} bootTriptych.png\n",
    "---\n",
    "name: boot-triptych\n",
    "---\n",
    "\n",
    "Diagram of bootstrapping the data generation process \n",
    "```\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The rationale for the bootstrap goes like this:\n",
    "+ Your sample looks like the population because it is a representative sample,\n",
    "  so we replace the population with the sample and call it the bootstrap\n",
    "  population.\n",
    "+ Use the same data generation process that produced the original sample to get\n",
    "  a new sample, which is called a *bootstrap sample*, to reflect the change in\n",
    "  the population. Calculate the statistic on the bootstrap sample in the same\n",
    "  manner as before and call it the *bootstrap statistic*. The *bootstrap\n",
    "  sampling distribution* of the bootstrap statistic should be similar in shape\n",
    "  and spread to the true sampling distribution of the statistic.\n",
    "+ Simulate the data generation process many times, using the bootstrap\n",
    "  population, to get bootstrap samples and their bootstrap statistics. The\n",
    "  distribution of the simulated bootstrap statistics approximates the bootstrap\n",
    "  sampling distribution of the bootstrap statistic, which itself approximates\n",
    "  the original sampling distribution. \n",
    "\n",
    "Take a close look at {numref}`Figure %s <boot-triptych>` and compare it to\n",
    "{numref}`Figure %s <triptych>`.  Essentially, the bootstrap simulation\n",
    "involves two approximations: the original sample approximates the population,\n",
    "and the simulation approximates the sampling distribution. We have been using\n",
    "the second approximation in our examples so far; the approximation of the\n",
    "population by the sample is the core notion behind bootstrapping. Notice that in Figure 17-2, the distribution of the bootstrap population (on the left) looks like the original sample histogram; the sampling distribution (in the middle) is still a probability distribution based on the same data generation process as in the original study, but it now uses the bootstrap population; and  the sample distribution (on the right) is a histogram of one sample taken from the bootstrap population.  \n",
    " "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You might be wondering how to take a simple random sample from your bootstrap\n",
    "population and not wind up with the exact same sample each time. After all, if\n",
    "your sample has 100 units in it and you use it as your bootstrap population,\n",
    "then 100 draws from the bootstrap population without replacement will take all\n",
    "of the units and give you the same bootstrap sample every time. There are two\n",
    "approaches to solving this problem:\n",
    "\n",
    "1. When sampling from the bootstrap population, draw units from the bootstrap population with replacement. Essentially, if the original population is very large, then there is little difference between sampling with and without replacement. This is the more common approach by far.\n",
    "2. \"Blow up the sample\" to be the same size as the original population. That is,\n",
    "  tally the fraction of each unique value in the sample, and add units to\n",
    "  the bootstrap population so that it is the same size as the original population,\n",
    "  while maintaining the proportions. For example, if the sample is size 30 and\n",
    "  1/3 of the sample values are 0, then a bootstrap population of 750 should\n",
    "  include 250 zeros. Once you have this bootstrap population, use the original\n",
    "  data generation procedure to take the bootstrap samples. \n",
    "\n",
    "The example of vaccine efficacy used a bootstrap-like process, called the\n",
    "*parameterized bootstrap*. Our null model specified 0-1 urns, but we didn't\n",
    "know how many 0s and 1s to put in the urn. We used the sample to determine the\n",
    "proportions of 0s and 1s; that is, the sample specified the parameters of the\n",
    "multivariate hypergeometric. Next, we use the example of calibrating air quality monitors to show how bootstrapping could be used to test a hypothesis."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ":::{warning}\n",
    "\n",
    "It's a common mistake to think that the center of the bootstrap sampling distribution is the same as the center of the true sampling distribution. If the mean of the sample is not 0, then the mean of the bootstrap population is also not 0. That's why we use the spread of the bootstrap distribution, and not its center, in hypothesis testing. The next example shows how we might use the bootstrap to test a hypothesis.\n",
    "\n",
    ":::"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The case study on calibrating air quality monitors\n",
    "(see {numref}`Chapter %s <ch:pa>`) fit a model to adjust the measurements from\n",
    "an inexpensive monitor to more accurately reflect true air quality. This\n",
    "adjustment included a term in the model related to humidity. The fitted\n",
    "coefficient was about $0.2$ so that on days of high humidity the measurement\n",
    "is adjusted upward more than on days of low humidity. However, this coefficient\n",
    "is close to 0, and we might wonder whether including humidity in the model is\n",
    "really needed. In other words, we want to test the hypothesis that the\n",
    "coefficient for humidity in the linear model is 0. Unfortunately, we can't\n",
    "fully specify the model, because it is based on measurements taken over a\n",
    "particular time period from a set of air monitors (both PurpleAir and those\n",
    "maintained by the EPA). This is where the bootstrap can help. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our model makes the assumption that the air quality measurements taken resemble the population of measurements. Note that weather conditions, the time of year, and the location of the monitors make this statement a bit hand-wavy; what we mean here is that the measurements are similar to others taken under the same conditions as those when the original measurements were taken. Also, since we can imagine a virtually infinite supply of air quality measurements, we think of the procedure for generating measurements as draws with replacement from the urn. Recall that in {numref}`Chapter %s <ch:data_scope>` we modeled the urn as repeated draws with replacement from an urn of measurement errors. This situation is a bit different because we \n",
    "are also including the other factors mentioned already (weather, season, location)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our model is focused on the coefficient for humidity in the linear model:\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\text{PA} \\approx \\theta_0 + \\theta_1 \\text{AQ} + \\theta_2 \\text{RH} \n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "Here, $\\text{PA}$ refers to the PurpleAir PM2.5 measurement, $ \\text{RH}$ is the\n",
    "relative humidity, and $\\text{AQ}$ stands for the more exact measurement of PM2.5 made by the more accurate AQS monitors.\n",
    "The null hypothesis is $\\theta_2 = 0$; that is, the null model is the simpler model:\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\text{PA} \\approx \\theta_0 + \\theta_1 \\text{AQ}\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "To estimate $\\theta_2$, we use the linear model fitting procedure from {numref}`Chapter %s <ch:linear>`. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our bootstrap population consists of the measurements from Georgia that we used in {numref}`Chapter %s <ch:linear>`. Now we sample rows from the data frame (which is equivalent to our urn) with replacement using the chance mechanism `randint`. This function takes random samples with replacement from a set of integers. We use the random sample of indices to create the bootstrap sample from the data frame. Then we fit the linear model and get the coefficient for humidity (our bootstrap statistic). The following `boot_stat` function performs this simulation process:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import randint\n",
    "\n",
    "def boot_stat(X, y):\n",
    "    n = len(X)\n",
    "    bootstrap_indexes = randint.rvs(low=0, high=(n - 1), size=n)\n",
    "    theta2 = (\n",
    "        LinearRegression()\n",
    "        .fit(X.iloc[bootstrap_indexes, :], y.iloc[bootstrap_indexes])\n",
    "        .coef_[1]\n",
    "    )\n",
    "    return theta2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We set up the design matrix and the outcome variable and check our `boot_stat` function once to test it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.21572251745549495"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = GA[['pm25aqs', 'rh']]\n",
    "y = GA['pm25pa']\n",
    "\n",
    "boot_stat(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When we repeat this process 10,000 times, we get an approximation to the bootstrap sampling distribution of the bootstrap statistic (the fitted humidity coefficient):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(42)\n",
    "boot_theta_hat = np.array([boot_stat(X, y) for _ in range(10_000)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are interested in the shape and spread of this bootstrap sampling distribution (we know that the center will be close to the original coefficient of $0.21$):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "alignmentgroup": "True",
         "bingroup": "x",
         "hovertemplate": "Bootstrapped humidity coefficient=%{x}<br>count=%{y}<extra></extra>",
         "legendgroup": "",
         "marker": {
          "color": "#1F77B4",
          "pattern": {
           "shape": ""
          }
         },
         "name": "",
         "nbinsx": 50,
         "offsetgroup": "",
         "orientation": "v",
         "showlegend": false,
         "type": "histogram",
         "x": [
          0.2415490757882046,
          0.2400212686744837,
          0.22049206663940865,
          0.19862640588670308,
          0.13788711206021692,
          0.25884949058903683,
          0.19369432363741346,
          0.23478719162294576,
          0.2218350036666876,
          0.20725520881146592,
          0.2513902481727441,
          0.16815460026735252,
          0.217701249983858,
          0.24213928391415293,
          0.18883383250788607,
          0.200242368235586,
          0.21478944711532863,
          0.17611771406612203,
          0.23834073960342714,
          0.18335993737862785,
          0.20129351665861078,
          0.1658601627177005,
          0.20414211413484895,
          0.18577181110955393,
          0.15866570743292682,
          0.18071760777901819,
          0.2057116215450417,
          0.23868054626402876,
          0.1742283201205133,
          0.2236573945078429,
          0.19288898209642555,
          0.19418464822541703,
          0.18364047443829612,
          0.22242554559382938,
          0.17277540232674826,
          0.19779655589184686,
          0.22728846929131286,
          0.19791561260422616,
          0.17598352238117626,
          0.20889722412833714,
          0.18084216766722463,
          0.2099045969582772,
          0.195749277268063,
          0.16485434425366155,
          0.18742351246214997,
          0.19692848195151413,
          0.18808972995623816,
          0.19693808865130996,
          0.18994158622011736,
          0.18338283435679012,
          0.18720228167381042,
          0.21212532303611484,
          0.19550770531372694,
          0.15088852194857527,
          0.1818709325789956,
          0.21228014509688473,
          0.21540228655943336,
          0.13769672183117249,
          0.1972085101592937,
          0.1799231972622791,
          0.17880479246729677,
          0.210049180224788,
          0.19088792066485924,
          0.1772895042364344,
          0.2128868742709494,
          0.19737865139871966,
          0.19694440133582325,
          0.25079741860456944,
          0.1330396845830098,
          0.20214060225838265,
          0.21742106554771196,
          0.20209746563256065,
          0.2046296185732267,
          0.18247453217335063,
          0.19211259438892261,
          0.19775639218921454,
          0.26120173861924456,
          0.20359295506003272,
          0.2118415493520405,
          0.14292131342012093,
          0.21414229582708044,
          0.19056680097373208,
          0.204109742642335,
          0.22125227455822907,
          0.16110422758616025,
          0.20387621866352526,
          0.1988785818445675,
          0.212020488102159,
          0.17917774256728358,
          0.2030824856018572,
          0.2100643260647347,
          0.20691738845502278,
          0.1808558061255007,
          0.16918336690582866,
          0.18537643611907845,
          0.21106301577677922,
          0.20045698167420775,
          0.19287963955403686,
          0.24335570797482425,
          0.19592633559313383,
          0.18130062233804164,
          0.22537120119230145,
          0.20644004538131913,
          0.16878610411863512,
          0.19902446181929462,
          0.19457090342696778,
          0.19803601263217985,
          0.1900926701977028,
          0.21158481592957237,
          0.22137878619320195,
          0.2092419398061968,
          0.19011329544404812,
          0.17653735428227812,
          0.16782773555393968,
          0.19373120650838116,
          0.17286139076066032,
          0.1803689356589033,
          0.18506612699686012,
          0.18735573169272238,
          0.2052740639765323,
          0.17434907783127765,
          0.17704912100370016,
          0.19876159268383173,
          0.22813371710059602,
          0.18439722335691813,
          0.21908003811228305,
          0.17168897480102463,
          0.2105163274485749,
          0.18844942598757683,
          0.19097842283604005,
          0.21396700228432794,
          0.1713611166176586,
          0.17076065231897283,
          0.1694301832716109,
          0.2249473153831607,
          0.1625292567069341,
          0.2467153604904729,
          0.17518713955031692,
          0.18908810473871313,
          0.17401745649315778,
          0.20884628348004036,
          0.1630569593169416,
          0.20630954657845957,
          0.1987328117331595,
          0.18706267709731558,
          0.14930866402045018,
          0.21041856557078042,
          0.21339908447414865,
          0.1832842632071925,
          0.22027077367968637,
          0.1879206965303211,
          0.18446838640885546,
          0.17154151653310612,
          0.17556199170912223,
          0.1915060014835586,
          0.19873798024684733,
          0.19620710835836982,
          0.21972328643196357,
          0.21337698232447605,
          0.20145971861928708,
          0.18582366632141212,
          0.20333384942559926,
          0.15928502988326024,
          0.2333654795687719,
          0.2099129554199411,
          0.1714645271445097,
          0.16397648792327707,
          0.16244918930674818,
          0.21610017617103366,
          0.2294444586155888,
          0.1980180124163597,
          0.20884740376869002,
          0.19610966629786153,
          0.14993136717051786,
          0.15853175341741746,
          0.2523858240512267,
          0.20045812028531806,
          0.19356284538916826,
          0.19874152650379837,
          0.16302144252554474,
          0.22950416459356276,
          0.2283228180152157,
          0.1714185421202335,
          0.2367259393758007,
          0.21892628614022058,
          0.19516398325774462,
          0.16297622487411048,
          0.22931938407769895,
          0.21715147968665124,
          0.15663298723736765,
          0.20619280164974585,
          0.21413256141423578,
          0.20786001926417852,
          0.21253174960708754,
          0.2524099709112577,
          0.2022011896495213,
          0.2406212675923549,
          0.24455272685693905,
          0.21568178836431445,
          0.1475182496272177,
          0.2382241580817284,
          0.1723254462146183,
          0.20595598061621773,
          0.21211405108463338,
          0.18201340963056434,
          0.21326351649166136,
          0.17570180708861613,
          0.25446606041270226,
          0.1880934616594528,
          0.22389808240751555,
          0.1885527355341955,
          0.1662418616405999,
          0.15591790595483557,
          0.19262272044199177,
          0.19478984612941194,
          0.1617466925715442,
          0.15350898395582643,
          0.19303198562344223,
          0.16427569147672363,
          0.20940392146855205,
          0.17308314383810425,
          0.1744830813497948,
          0.20972875430722168,
          0.1930591749947878,
          0.1396708139889494,
          0.2196943460612587,
          0.1751773229840434,
          0.22471843870588715,
          0.21598603808413147,
          0.1552345936856131,
          0.16626757907991604,
          0.21840933674274635,
          0.18858517339335212,
          0.16184838392870116,
          0.17517166141958382,
          0.25160991588866144,
          0.26112105495345234,
          0.23923530245652178,
          0.21104899955571502,
          0.20372744181603225,
          0.20538719534256264,
          0.21711372447457503,
          0.22417638335965923,
          0.18776497707878476,
          0.15613355638185225,
          0.20519505205962757,
          0.1720880289247485,
          0.20093897427955873,
          0.2607255300369731,
          0.22385632739480513,
          0.2020013144402366,
          0.18804634620973093,
          0.20337269463621852,
          0.18385460316791188,
          0.2190811962049092,
          0.1918486150170701,
          0.20458201718937052,
          0.20204391265451963,
          0.24573022220602786,
          0.23109187774170387,
          0.15365249023547967,
          0.2045783948221924,
          0.1810093255932778,
          0.182397935449947,
          0.16973962724907105,
          0.1800605062332485,
          0.17009234874098186,
          0.18424930976885806,
          0.2334909951529073,
          0.2095183810314414,
          0.1540789357248704,
          0.20352869457734782,
          0.22421578524945704,
          0.18912682685044474,
          0.19988443766775485,
          0.19394031526045027,
          0.19564419265919206,
          0.22132007345907406,
          0.1800671403158533,
          0.23498228129314716,
          0.1661308537469117,
          0.21321304075658654,
          0.19313362304586712,
          0.2110482746822098,
          0.188680986163812,
          0.2046219829829963,
          0.18248862475364416,
          0.185508476284798,
          0.21257630003889372,
          0.17330552806414687,
          0.20877867242989687,
          0.20465563367788558,
          0.21338078029526783,
          0.18716829635662988,
          0.178776045598173,
          0.22712319328477404,
          0.17818464147701094,
          0.20172003981427625,
          0.20473955612632788,
          0.1307826372860838,
          0.2068139675831855,
          0.19364516783458716,
          0.17380353329188847,
          0.1842288168173121,
          0.1904401827131206,
          0.15690798706310222,
          0.19113730590204722,
          0.1812639004306832,
          0.19307394115423718,
          0.21773453515949484,
          0.15292898508440608,
          0.18147106758272194,
          0.21868572822527238,
          0.2257002892720022,
          0.24410001171224363,
          0.16801649147906264,
          0.16039871283371124,
          0.22124225453107937,
          0.2078719518694952,
          0.18034778350489994,
          0.17450775305107322,
          0.19925168928361706,
          0.20176011984948308,
          0.2061603023212957,
          0.20858908953082617,
          0.19716832628007114,
          0.22793593738691914,
          0.16943618528712354,
          0.1608646085712006,
          0.18443512951354862,
          0.16892332726478668,
          0.1631279742237677,
          0.20145176266509823,
          0.21542822859340063,
          0.13482060919926353,
          0.21281941837812585,
          0.1678860819743423,
          0.22481081821142584,
          0.15682386603857817,
          0.19182945797934708,
          0.1331954508534636,
          0.19739671081368892,
          0.21499340294150365,
          0.22508788886007533,
          0.1825936363965585,
          0.19904719707107643,
          0.2017425342967103,
          0.19276859247924022,
          0.1636791316015053,
          0.2079296837780024,
          0.17976945697545085,
          0.21810465680326002,
          0.22006635553806891,
          0.19987582780937632,
          0.17302609952703743,
          0.17945076820839861,
          0.19010880056759857,
          0.185925882655445,
          0.21549533727088271,
          0.2232039899109957,
          0.20894257908170058,
          0.16666136954572144,
          0.20007420941015422,
          0.17934002887906023,
          0.1841371275763722,
          0.19433621292214742,
          0.18625438190273455,
          0.2541509953595503,
          0.23070967216693522,
          0.18474563513727002,
          0.2074065071862574,
          0.21689313519783082,
          0.24187106588289248,
          0.21229183243983143,
          0.19599741120791353,
          0.18700051944552967,
          0.20369395471045593,
          0.19070180386120747,
          0.2282352917392473,
          0.27408228715842387,
          0.21232941509072883,
          0.21665218905279596,
          0.1540259293410631,
          0.1886769685833307,
          0.19422404019149175,
          0.15151270306134565,
          0.1785484894650071,
          0.17800101691636383,
          0.18188491565905524,
          0.20366001350911317,
          0.22344883660501577,
          0.17406925335186757,
          0.16224668711425233,
          0.22519821825705927,
          0.19855863532770196,
          0.19597777517862333,
          0.21074484075028918,
          0.16888790620716243,
          0.17799647611482605,
          0.15261899740803953,
          0.23241905171700347,
          0.16910588456435144,
          0.188977334290424,
          0.15590623084494484,
          0.13171513730902615,
          0.21902385730849827,
          0.20154721469734976,
          0.21957357347556206,
          0.21677709119383345,
          0.23145934615421412,
          0.15140521706109816,
          0.24929263810545713,
          0.1758195712112523,
          0.22448760504390586,
          0.22451473645761222,
          0.20962155780678077,
          0.16775862312256104,
          0.2015633434599747,
          0.20373276881893432,
          0.22958040697734167,
          0.16786648626095726,
          0.16544795363809844,
          0.19749679284588745,
          0.18376273492589082,
          0.17555670573911045,
          0.16541439214938333,
          0.18255015503015343,
          0.15505900047533602,
          0.22708927748102803,
          0.1666657421645976,
          0.1524598349363812,
          0.16851829645974556,
          0.16398971621334443,
          0.2000053491750752,
          0.16114720904557833,
          0.19169887121043827,
          0.17957440642110095,
          0.21783732164964734,
          0.23579640699905835,
          0.1599857564081121,
          0.13838078417676924,
          0.19710126676132841,
          0.2058015359879305,
          0.2093898891361955,
          0.17897729423752742,
          0.1981348120296932,
          0.19098549834130002,
          0.21391760753295286,
          0.2041353328922303,
          0.21846708277631705,
          0.22149001518747455,
          0.19927332361232805,
          0.17227460313863166,
          0.170008278898133,
          0.1916589008988651,
          0.1642530820813197,
          0.23986718125076645,
          0.20505256265615457,
          0.26190285519409945,
          0.20536657675390202,
          0.17187448161143687,
          0.21956020956391836,
          0.18689925209618197,
          0.2026998705778207,
          0.18282095112853433,
          0.1943431515523603,
          0.20610770292472447,
          0.19063176190919792,
          0.20182403318425565,
          0.18944832256355862,
          0.19475515012762656,
          0.17066280498884748,
          0.24497272358689806,
          0.2242405722561651,
          0.1762542742360013,
          0.1888209985405994,
          0.2166359515190362,
          0.18891664761212512,
          0.21798002005629505,
          0.15997327139319223,
          0.17587630452954148,
          0.18222168947658574,
          0.21424644905354756,
          0.15731667137295252,
          0.20560904907638403,
          0.17755163942759444,
          0.21827738213207323,
          0.15019622578983535,
          0.17122846555002197,
          0.2598643401638312,
          0.2146191855667135,
          0.19233396663050475,
          0.1545867175127079,
          0.1691526999577522,
          0.1882357373294235,
          0.2045983128704455,
          0.22318877356947023,
          0.2060191212333,
          0.2293948789341595,
          0.2009721513555684,
          0.168826009697257,
          0.22155088339193416,
          0.2040758311827012,
          0.15492583626972717,
          0.171882845611743,
          0.17656982053870823,
          0.16036575176270448,
          0.19758558292018114,
          0.15051483638133945,
          0.21823382210936093,
          0.20005896124605582,
          0.21278356552874306,
          0.17957455210119455,
          0.1910498575057827,
          0.22363464057063165,
          0.19181463381162178,
          0.20392847182754187,
          0.2096253690054126,
          0.14782486631803846,
          0.20465308076299685,
          0.20852366091965271,
          0.24896247980847472,
          0.16658040082911402,
          0.16043415212593012,
          0.16950350527157834,
          0.1967034420634367,
          0.15951559879453628,
          0.19696399046654384,
          0.2213616750253754,
          0.22047050937975138,
          0.20154088767772946,
          0.20356420964598212,
          0.1763057899093246,
          0.1948556397587073,
          0.19175985979289767,
          0.17637755091193907,
          0.24985477198339656,
          0.25765036198143765,
          0.18454120158128176,
          0.21152367406061018,
          0.1691377726258133,
          0.1328317970260513,
          0.19440783340523415,
          0.2375856288776165,
          0.24707920482361984,
          0.17381441689282953,
          0.2221598237331381,
          0.21702946230906758,
          0.19747381702127087,
          0.1875945186613809,
          0.20320498379215,
          0.19784801867062637,
          0.1535723250069908,
          0.23851868499291579,
          0.21122981796644627,
          0.19858708946692857,
          0.21637021043120544,
          0.22532990876109094,
          0.2079770733501654,
          0.269497382738651,
          0.18245806368198708,
          0.2329281132809026,
          0.17015045189045053,
          0.2440617450910216,
          0.21453241496530198,
          0.1573115322025794,
          0.1985064100774108,
          0.17457740634570537,
          0.15717920313463427,
          0.2208786519596675,
          0.20389772751718677,
          0.2293514303982201,
          0.17881087889283945,
          0.18333348979749486,
          0.1623551136594878,
          0.18722873093262452,
          0.20576907284404136,
          0.20083381405796746,
          0.15415105616376298,
          0.17846934409656304,
          0.20990157181679994,
          0.2092194358227812,
          0.2011970121796522,
          0.2179989697571147,
          0.2179157464402809,
          0.19309402636347467,
          0.2297640304859561,
          0.18893127745168206,
          0.19741262935530343,
          0.21574400551473485,
          0.2029008375568898,
          0.19936882176195275,
          0.15228092372699967,
          0.15847001987761464,
          0.15054326394009246,
          0.1758210395980489,
          0.2531091425477427,
          0.1876008121504151,
          0.16144507026805774,
          0.18083985781149584,
          0.21476417468630812,
          0.21197720193920194,
          0.20005314503750593,
          0.15215939996323663,
          0.16921455523722656,
          0.23463013535137495,
          0.21139737235108733,
          0.22083675739843595,
          0.1911274746855904,
          0.1763094095135196,
          0.17278135767277894,
          0.20999963668720653,
          0.17260495555712724,
          0.16614002581888326,
          0.20058722691575667,
          0.2009106386522691,
          0.1935501881243573,
          0.2302556351827935,
          0.2103807974135282,
          0.19306790928720216,
          0.22439863078277264,
          0.20244575605887777,
          0.16843037866986055,
          0.20066473890542777,
          0.15041918647550642,
          0.1873414378023083,
          0.19616819372053793,
          0.1521172283139536,
          0.21765507471270257,
          0.17874014125923318,
          0.20685014956750783,
          0.15706937534302554,
          0.2116796364422207,
          0.17600032187270936,
          0.22120436490624784,
          0.19418337442545094,
          0.2011031350082913,
          0.21652035864056007,
          0.16703753616482325,
          0.2013560302730225,
          0.19275593352571704,
          0.17395620033943693,
          0.20046020468331174,
          0.24540233260668434,
          0.2245932547238782,
          0.19727812058897362,
          0.21019026608824934,
          0.16886501547883778,
          0.15096377418784832,
          0.20398173883790616,
          0.17468324818416345,
          0.18298613856735735,
          0.228508325098507,
          0.22037318777890497,
          0.1741903211628639,
          0.20865276497631272,
          0.21642565160515814,
          0.22964150072033798,
          0.23284553823491913,
          0.18230851677150528,
          0.22136872199511767,
          0.2543069463195573,
          0.19705366953007217,
          0.22745953291617213,
          0.18579101963173425,
          0.23097121196979314,
          0.1897043325433277,
          0.1666748725240184,
          0.16334548395808945,
          0.21195683247965563,
          0.22196715326411265,
          0.20545745469345558,
          0.16451179425355916,
          0.2186393074448188,
          0.2021402449988024,
          0.20532718675183642,
          0.225243693262157,
          0.20650743354761272,
          0.18292811020267624,
          0.1877639559838593,
          0.23433958747571626,
          0.20630130610077832,
          0.16491493503406152,
          0.21938829282289646,
          0.20968063498755415,
          0.23610321623512504,
          0.19139216387624003,
          0.19857805026903133,
          0.13717056757665003,
          0.24186753170389266,
          0.22966765971907108,
          0.20398683215007735,
          0.19273184832078982,
          0.20297623234564746,
          0.21358939290582593,
          0.21175316959647408,
          0.19186733409405848,
          0.1869694654243117,
          0.1399326390805324,
          0.17084762044463234,
          0.20103873248105397,
          0.21790854455861966,
          0.21932850731449652,
          0.19785909465832272,
          0.24201868530758414,
          0.11377150584027364,
          0.18502332420704418,
          0.22545249676860735,
          0.19645542315216508,
          0.17877393713259773,
          0.15815186237876552,
          0.23075127894409983,
          0.21105824430264547,
          0.226979107683371,
          0.20925625749041776,
          0.19670848094922785,
          0.20976911710973245,
          0.19251097018157312,
          0.19031556803625158,
          0.16427529613353947,
          0.17985221138840693,
          0.19833367893775383,
          0.20724323045577395,
          0.23447643916260727,
          0.19623947942658804,
          0.19411187914021433,
          0.1793143651173101,
          0.21427527107966485,
          0.14246317389883636,
          0.19942246146583475,
          0.20734756904427637,
          0.19897521729788895,
          0.1990643177631092,
          0.1250834996184666,
          0.19805050000814114,
          0.22841629134664548,
          0.19323669411742464,
          0.2030987528495208,
          0.13993329688727274,
          0.1869205548396345,
          0.16595333258771916,
          0.1849195345076874,
          0.1857106351777379,
          0.130519001466148,
          0.26870080411981645,
          0.18374727562575757,
          0.18055588845049686,
          0.18523572855716097,
          0.1540107547350271,
          0.18155584781283576,
          0.1661678655826421,
          0.16717778773712175,
          0.206646712108211,
          0.12593582539189938,
          0.1754803619327237,
          0.19993558900673453,
          0.20448861101203855,
          0.20884344205913996,
          0.24554953673152113,
          0.1619041880278265,
          0.2059144884604409,
          0.21029080119852142,
          0.18990152369228358,
          0.1544406487438812,
          0.1944044317797612,
          0.1829237463304661,
          0.2156694531629489,
          0.1831704701204796,
          0.14529250148737122,
          0.2348259038288931,
          0.22024209554741803,
          0.23554823586046847,
          0.1919644118400064,
          0.16178474014132743,
          0.18598367493437035,
          0.23276083482017298,
          0.22306545253422813,
          0.1654183698340241,
          0.23093944276397774,
          0.2197948656808732,
          0.16710549328543614,
          0.2313444943340565,
          0.16245819294538139,
          0.21133992376577954,
          0.19742395082281805,
          0.2354159235455497,
          0.1667075919901149,
          0.22046312375915345,
          0.2105635337014142,
          0.21597607276592715,
          0.1948219362626876,
          0.19835914849644123,
          0.1831606184302875,
          0.18040134500583896,
          0.19307548672192168,
          0.22286585512071133,
          0.2300010229905162,
          0.24559854229030514,
          0.20726241458601152,
          0.18656009816863128,
          0.20370321146959122,
          0.23929042516078608,
          0.14655838759054882,
          0.2250794804612099,
          0.19214887753856547,
          0.2289016703914144,
          0.2001326592181599,
          0.2684742840063964,
          0.24449865887336605,
          0.19345126400621596,
          0.19807870023820218,
          0.16626396104461172,
          0.1816043782119487,
          0.19457512034703944,
          0.16867979313532527,
          0.18786280788685553,
          0.1866409584796662,
          0.15875909010207262,
          0.1948704335721756,
          0.21102524901790565,
          0.19922327274355578,
          0.18804055772310851,
          0.19823468955783896,
          0.20580864688084657,
          0.18977549782701766,
          0.2299051319688689,
          0.19034874056819462,
          0.21956191421313057,
          0.19125179081213484,
          0.1754456732701148,
          0.20561774654403225,
          0.20871405863112633,
          0.1911775498865607,
          0.1927711802788795,
          0.17950687932781695,
          0.16795705004063516,
          0.21069485883547745,
          0.23417901913078465,
          0.23393776645901695,
          0.15146639030091602,
          0.2107445522828894,
          0.19678231555669345,
          0.16151968605136172,
          0.2022776516829187,
          0.16841501741483272,
          0.1466212503914307,
          0.2203101091684542,
          0.17556942464286096,
          0.22569574011562513,
          0.22772079895931008,
          0.2031497790431184,
          0.21465649424604494,
          0.16840507960005816,
          0.16731633931854223,
          0.20048019863498595,
          0.16527375716135267,
          0.20942315799152253,
          0.16478250362849983,
          0.17098064733965018,
          0.18416483695821315,
          0.2540385072390801,
          0.19261626447033975,
          0.1936432743736821,
          0.19630572005611857,
          0.18966753264679959,
          0.1528545659548007,
          0.23341752120997838,
          0.19565800304980224,
          0.2240814978887109,
          0.19758052494525633,
          0.17593016641029557,
          0.1957193556428559,
          0.17300027993973344,
          0.15756730830348148,
          0.13868227132293875,
          0.19158588253706157,
          0.19945631501201858,
          0.19768791592240995,
          0.20885123111382303,
          0.18546563144984488,
          0.17979717262824355,
          0.22684823652874336,
          0.1413182793081079,
          0.16626600057659904,
          0.16779910903615225,
          0.14813146292329754,
          0.21189876984034145,
          0.18170857838805965,
          0.2195688403152892,
          0.19216189216014656,
          0.15441800724294663,
          0.18399822642844113,
          0.18989921937682241,
          0.22882150650148397,
          0.18143699646173628,
          0.22622481665749108,
          0.21423626516387065,
          0.2133582197419169,
          0.22295311045162025,
          0.1697822084988316,
          0.21895466375610553,
          0.2473736506607673,
          0.1898083368558843,
          0.1346479939487771,
          0.20867903692010245,
          0.19967398814076548,
          0.21509598777229433,
          0.20179679591586802,
          0.2514934611864414,
          0.18973588522811047,
          0.20415835450418188,
          0.21067597440394925,
          0.163643606842022,
          0.16648244445478216,
          0.1818544928216575,
          0.22804749728370227,
          0.2058516414169552,
          0.19207707787108633,
          0.20765076474264546,
          0.20492968018203953,
          0.2000461548097384,
          0.22209676515171928,
          0.18681574301172532,
          0.20932091262155264,
          0.1418884488331357,
          0.2208840902039211,
          0.2591945579410466,
          0.20723671986373268,
          0.2146640303485648,
          0.21412596812408244,
          0.19158282010852187,
          0.18888377330732417,
          0.2005209650150054,
          0.2041090342590609,
          0.22119290250737816,
          0.22092737984407432,
          0.09748801326018675,
          0.20463787941666856,
          0.22713557366191295,
          0.19868463993275973,
          0.1634151477452131,
          0.20050362979699185,
          0.20378886173324584,
          0.19913872394073237,
          0.21556982667669988,
          0.160894982489773,
          0.2179138875510826,
          0.20067217591707887,
          0.2061221006105998,
          0.14045184219134665,
          0.1631652352331289,
          0.19393445319658345,
          0.1914310039479351,
          0.2037260311319558,
          0.1388235424113356,
          0.18641049419022668,
          0.17078858857428775,
          0.19554111219492157,
          0.15772847953367705,
          0.2410982858606913,
          0.20204588344441965,
          0.165757965787928,
          0.18765243242139007,
          0.17626235971939905,
          0.18644275896487042,
          0.21295664367702755,
          0.18650224855413422,
          0.24564398460206552,
          0.18610673832962102,
          0.23661453060786888,
          0.23419523438000037,
          0.20399137379701823,
          0.21389850088781595,
          0.2213471380110109,
          0.1702433855244964,
          0.174027220019584,
          0.20273881295539495,
          0.19195597072155676,
          0.20880010337979127,
          0.20916701718371505,
          0.14217738242758465,
          0.1250429104216237,
          0.21137767889844605,
          0.22341790530119002,
          0.17714179513121853,
          0.18962384002395624,
          0.19289953048523392,
          0.23742804412708504,
          0.20159866913029065,
          0.16435088025902336,
          0.20771355325548269,
          0.22872870526280448,
          0.1722806333676725,
          0.1755372828492237,
          0.23889072824834065,
          0.22311496830056227,
          0.1840640441584141,
          0.24078500033520994,
          0.1912385068156089,
          0.21595832745674082,
          0.23835295040806165,
          0.17817543056177804,
          0.21377414355771035,
          0.2161946156398717,
          0.23052231899983666,
          0.17676286918985698,
          0.17313051033446827,
          0.2029214699646822,
          0.2213096042179364,
          0.19503987926426153,
          0.19988573854679773,
          0.15107824978638673,
          0.1626828087424278,
          0.18510917510458672,
          0.1743020033577985,
          0.16441054039239592,
          0.2093973568151854,
          0.21261277621166433,
          0.21120184749146764,
          0.19333749582953436,
          0.20033482920182202,
          0.2146625728556508,
          0.20159465281589353,
          0.19343076001850587,
          0.201693868474094,
          0.23919447650239833,
          0.24074641668955057,
          0.19545544424426173,
          0.21942920299783145,
          0.21226154867512456,
          0.22307151366224048,
          0.21450268331143735,
          0.22266152002175613,
          0.19238229305596993,
          0.1866048204278307,
          0.2627270034900954,
          0.21644451585048916,
          0.16959401560391626,
          0.19787964108552739,
          0.2002748518204563,
          0.1503936220297072,
          0.20632967738462402,
          0.1692441542165983,
          0.1865648793947506,
          0.20862489376146384,
          0.19069155573000465,
          0.20584346437620551,
          0.15741177645586538,
          0.2309133795541593,
          0.18217609200976914,
          0.22839779266164495,
          0.19836580987562258,
          0.16810253550285298,
          0.19075498927345755,
          0.17951481204112646,
          0.1890323537555925,
          0.1927238033575983,
          0.2031712514347079,
          0.18939123146210743,
          0.20328624871590614,
          0.1968543947917737,
          0.2021468533884434,
          0.2118498134795691,
          0.17459988376018637,
          0.18046948959858342,
          0.17119852622844298,
          0.20738253267054382,
          0.18781871180557447,
          0.2105629536404106,
          0.21177546615957354,
          0.2028269091252571,
          0.2020598398277241,
          0.1856413126944349,
          0.2157682779867252,
          0.18522095080980935,
          0.24313815548760742,
          0.2257125450452908,
          0.1919985876453166,
          0.23581153968150914,
          0.21098929598899172,
          0.21659684512257005,
          0.253872163353365,
          0.1909900644584999,
          0.20844292075310483,
          0.22302979669493433,
          0.19462837402154445,
          0.1932111457759503,
          0.1675330569067328,
          0.19340320884011364,
          0.22750300358769382,
          0.22205778399275697,
          0.23211424536350508,
          0.2396215212937876,
          0.1768661850596828,
          0.15906505858811498,
          0.21358497944196003,
          0.1839689558295633,
          0.18357939925278344,
          0.20246706714359916,
          0.18296156021304694,
          0.17672162669247385,
          0.1815541406477922,
          0.16953295222280557,
          0.23939372759070424,
          0.1975071826817278,
          0.17893233583516047,
          0.178254267011083,
          0.22195229787721438,
          0.14596284823721936,
          0.22836818626846594,
          0.17200472724702778,
          0.1686156993751062,
          0.17608657821836002,
          0.19627595467008277,
          0.15783687625200085,
          0.2096584011786438,
          0.15550074315308865,
          0.18595048656193117,
          0.1731362748580128,
          0.24489117837397945,
          0.2151007793636108,
          0.17073011135720667,
          0.2242656737303761,
          0.19193317706490937,
          0.20923318104323316,
          0.22509714816468554,
          0.16468680942099231,
          0.21960124313652246,
          0.1657525717960326,
          0.1941112737953617,
          0.14765473049187505,
          0.23112743157780316,
          0.18016860023713577,
          0.21001772506547936,
          0.1487508577140621,
          0.18775229985278766,
          0.19465093574101375,
          0.21850813567262375,
          0.17562469901526545,
          0.25618624231493164,
          0.21992820040161223,
          0.15555027447924036,
          0.2183927099961134,
          0.14196912365683934,
          0.1643221670737095,
          0.15156343378986373,
          0.2021098237314884,
          0.17242801740702415,
          0.16856159415425095,
          0.18770621624949574,
          0.1618881201451992,
          0.19705957144890235,
          0.15935142483451592,
          0.19831627233719362,
          0.16409753075888298,
          0.1934453105052281,
          0.16573821105485398,
          0.2003267884288928,
          0.1693660952267365,
          0.19119167806552156,
          0.24217742095015773,
          0.24800274110380513,
          0.17102626759683237,
          0.170475708741521,
          0.22986883047375217,
          0.1940010529196717,
          0.19867799809920436,
          0.23444599254700968,
          0.21351029038443442,
          0.19459151713358458,
          0.21069267392034377,
          0.21607280380653998,
          0.18168453707656831,
          0.2180595449509005,
          0.1895007823788371,
          0.18319772952343866,
          0.2003454466142106,
          0.2174435106431301,
          0.20922442125670357,
          0.18095329186036957,
          0.1971894682272279,
          0.20235021487798,
          0.17110292319082684,
          0.17194909605433895,
          0.1927557770992318,
          0.20074639223251275,
          0.17631021009394834,
          0.22029898039803425,
          0.1357513538327806,
          0.2039496524760443,
          0.2183768224149225,
          0.1541143047345739,
          0.18426525707768626,
          0.22227509963578188,
          0.19846278072045215,
          0.16269245626516116,
          0.1665948444666443,
          0.22344110025423938,
          0.1796728914014576,
          0.2110447877397151,
          0.14456111176204503,
          0.16684266810528314,
          0.22351715808330053,
          0.1770061319251466,
          0.18737538561917097,
          0.18263602649339947,
          0.19329915141982135,
          0.19366567191658754,
          0.19660735867781004,
          0.11127282298337356,
          0.19444734714810902,
          0.19223060693098504,
          0.1928396641974828,
          0.1252379834160224,
          0.22465498784159663,
          0.20320608158860481,
          0.2109761324004754,
          0.15280776211058333,
          0.197291287902687,
          0.19243725836430448,
          0.1984807399075654,
          0.18510686890979386,
          0.19260930872097315,
          0.18037134272886593,
          0.22842422474486576,
          0.1748735278851997,
          0.1569645216764151,
          0.2212268568846051,
          0.18132127973378792,
          0.24123534811566372,
          0.2322540885649338,
          0.20503940872218565,
          0.16503032256191066,
          0.2352096669984929,
          0.20795376715666167,
          0.23142856114153182,
          0.23799913550338883,
          0.15679302065766879,
          0.1892350330028787,
          0.17001619130480075,
          0.20577686089453004,
          0.14168056481160343,
          0.19216325333079787,
          0.19619652956014888,
          0.18643092182106621,
          0.1968842332711171,
          0.22304413365765802,
          0.20371298975490426,
          0.1590095837723814,
          0.21489665735130697,
          0.22560841227273168,
          0.18426259521131194,
          0.15985002284539127,
          0.2241895309604662,
          0.18944410371232576,
          0.14208409622181267,
          0.24416460139189355,
          0.19854096810945554,
          0.14340933234221293,
          0.1794654034162878,
          0.23780150480719336,
          0.21583718292214907,
          0.17755456975823528,
          0.20426196671743085,
          0.18042818274995365,
          0.24676579114912034,
          0.18300067390991945,
          0.19278437535707796,
          0.15965851394801517,
          0.18909207333255248,
          0.17227025085784836,
          0.21292989381289965,
          0.2512493114698607,
          0.20725751811937548,
          0.23717588370877418,
          0.19299240144109522,
          0.21096254982883825,
          0.23546082430692444,
          0.20418071357860054,
          0.18579690494242618,
          0.18453500107957221,
          0.17339352608033012,
          0.22628080753110066,
          0.17632988071159642,
          0.19081077597165602,
          0.20493191001969271,
          0.22182488883274923,
          0.1484533540989662,
          0.22774663027746325,
          0.18178990026098898,
          0.18423969448618643,
          0.16729990739414932,
          0.1649641116809607,
          0.13989527416977612,
          0.21934950066025985,
          0.2426859097962137,
          0.18680542620765095,
          0.1615831354662089,
          0.22722463932600281,
          0.22748374666308108,
          0.20947337900267787,
          0.17383338931065068,
          0.2225188404374856,
          0.15385938142216257,
          0.19714052778376742,
          0.16963366879931438,
          0.2114373297582118,
          0.19171871693897785,
          0.1717059455978853,
          0.16531727173837124,
          0.22306736656066786,
          0.1905093481512498,
          0.16098425668728952,
          0.21480452607612194,
          0.15086991834043287,
          0.1896552057080588,
          0.20510258968509343,
          0.2234458861611002,
          0.1976353333539732,
          0.22847707883502058,
          0.16844215376957894,
          0.22455324397036103,
          0.18320325853056912,
          0.20115487169322213,
          0.12791234082671044,
          0.18966560600106536,
          0.18680921335761735,
          0.18539574442284182,
          0.17895973434723636,
          0.18993144571074783,
          0.16593828989707138,
          0.1960121343771075,
          0.16910067664136502,
          0.22800373891960973,
          0.2004394620479163,
          0.14044834674355344,
          0.2088139349334936,
          0.18423350932357793,
          0.22718666206083732,
          0.1894529175544617,
          0.19675724839757514,
          0.19170908702825218,
          0.21499429265293762,
          0.2221208602802163,
          0.2189957294054961,
          0.18252600007683917,
          0.2087090149432144,
          0.17451707534751495,
          0.21574016475630017,
          0.132742249875862,
          0.25999301878619735,
          0.19467070451895477,
          0.16328800204837648,
          0.2115689874129586,
          0.20094389317475406,
          0.22375714099578928,
          0.19495137561246276,
          0.21105445763321834,
          0.22363482108783828,
          0.17756202514192757,
          0.1772773269505338,
          0.23614119285872914,
          0.173913732983338,
          0.13107854912650285,
          0.14838572757086663,
          0.23286084486644995,
          0.20045907658692952,
          0.18570899602638638,
          0.1349571693451759,
          0.13886516150928196,
          0.2355844118343567,
          0.17734452079065852,
          0.18409368338741358,
          0.1745101515145354,
          0.16828251845894035,
          0.18272337153977347,
          0.1998142438876364,
          0.2007971863816279,
          0.1894703404219605,
          0.23329244508763966,
          0.18658148717272488,
          0.2172287188498604,
          0.23386727813231398,
          0.20803132315181627,
          0.2263779796500079,
          0.1920392945147163,
          0.16103549443620782,
          0.15470460917405873,
          0.19359761234914868,
          0.11745035596801429,
          0.16576299807253522,
          0.1470826647861395,
          0.216645335649554,
          0.20096278713279075,
          0.20273687588148892,
          0.1985721385542831,
          0.19137639191317693,
          0.25899780195595107,
          0.17620672774482196,
          0.16128785949754204,
          0.18883335559283382,
          0.18320998394340615,
          0.21325243955026094,
          0.21522020400241507,
          0.2301814874771588,
          0.24279407393115868,
          0.1888133180803924,
          0.2076726634095381,
          0.19248011837256232,
          0.20264975203664531,
          0.16876954950108652,
          0.17260689565397047,
          0.19276829572894788,
          0.21139465732694718,
          0.17077848741040697,
          0.19779468319631135,
          0.24666986649002917,
          0.14986500710896192,
          0.1781487025450544,
          0.20928532452933465,
          0.1995481384527488,
          0.1888233192109161,
          0.24032437043777008,
          0.17587832281128293,
          0.20908224771981865,
          0.21457912993909933,
          0.16746425994285802,
          0.23048700971294786,
          0.250392087996524,
          0.21180060079892155,
          0.2054795766290233,
          0.19549337120254606,
          0.2017995610959526,
          0.16556792623676192,
          0.19849557260982512,
          0.2649824663333743,
          0.20376483756731956,
          0.23150833224307382,
          0.2145118908391759,
          0.16917298852651744,
          0.19504196478131777,
          0.1946969282243829,
          0.20155078373846436,
          0.22041774576605655,
          0.2282660900098943,
          0.1868099644849066,
          0.1542807981640556,
          0.20686694920156226,
          0.18631484533483883,
          0.21222907615223247,
          0.18778752858787007,
          0.20710402949309709,
          0.18059105974909,
          0.17152074740739745,
          0.17465306120800853,
          0.2024081530928617,
          0.12229474724440541,
          0.2153086869501895,
          0.17571564496833364,
          0.16515919993298964,
          0.21012208951941996,
          0.17309476954704628,
          0.18146886156730188,
          0.20728100301541838,
          0.1940290523060527,
          0.20556463082562265,
          0.21282161790811138,
          0.15821175159802972,
          0.23677103097705088,
          0.16907637526235098,
          0.19721393133301224,
          0.20440387884059918,
          0.21912994083272455,
          0.25949025450173413,
          0.182727606596581,
          0.13592388525091512,
          0.22862269510179717,
          0.212243083845859,
          0.15355851701021606,
          0.17046968726822215,
          0.22027883151278177,
          0.2400595489883073,
          0.21253289902213396,
          0.19826697134718013,
          0.2077250197746271,
          0.20525181726546304,
          0.2277995780142088,
          0.18486955961526655,
          0.19688958595421632,
          0.20877633047369096,
          0.188707054790102,
          0.1677562227615378,
          0.1979530117497129,
          0.2048457847853113,
          0.18740632153201567,
          0.1748608260344446,
          0.1687955804861653,
          0.2106614208879443,
          0.20201556861504433,
          0.19581722790547937,
          0.1945809847666779,
          0.21536545037815846,
          0.20148297424178874,
          0.22928446005091033,
          0.20350223366628611,
          0.19168569704178542,
          0.19276095823441572,
          0.22959611633026475,
          0.19895337623039794,
          0.18940402667453482,
          0.2633972136954509,
          0.19279216888899353,
          0.19914765575884366,
          0.14647147030300547,
          0.2091277247827329,
          0.2070470461404619,
          0.2152428461123554,
          0.14984465974694583,
          0.1627698566179715,
          0.1969191020438124,
          0.19619747830473358,
          0.15323802422983826,
          0.18812140649648326,
          0.22207004034345387,
          0.18896431643962291,
          0.21011921570555586,
          0.19393006773694516,
          0.18452228713960445,
          0.18527358913428446,
          0.213710704192547,
          0.18636173666456315,
          0.1688702098212536,
          0.22335161424944544,
          0.16646829848229286,
          0.173770424187071,
          0.14920011221404297,
          0.17384607903477634,
          0.18294878226284125,
          0.1977614689686609,
          0.20006334677419485,
          0.1902806263640573,
          0.16196993982161165,
          0.20319001628348674,
          0.19338144113064898,
          0.24052083809497385,
          0.18759515740701335,
          0.20591052895995204,
          0.1957678885193891,
          0.20707503378167896,
          0.1956824749603799,
          0.13897291650034457,
          0.247133400688902,
          0.20820017108767352,
          0.19959147992673715,
          0.20308388760263274,
          0.21570766234829217,
          0.2421063725059871,
          0.1965842945316037,
          0.17356870029545202,
          0.21257472070035813,
          0.23390604468999837,
          0.20093069062392385,
          0.19269889258506553,
          0.18664879943038673,
          0.20404595037734946,
          0.2383653689690492,
          0.20377380683944984,
          0.2132347102403626,
          0.19548090621441705,
          0.23290958274427306,
          0.20353744520413306,
          0.20675338839428065,
          0.17947244601811074,
          0.21835586254044656,
          0.17378023048349592,
          0.15668262359257262,
          0.22986192349813095,
          0.19074838719424178,
          0.1924693292227868,
          0.2138837527451738,
          0.19233944676270937,
          0.2223187505430208,
          0.2288205312027218,
          0.17895521871863096,
          0.21655292860884362,
          0.20234081998843673,
          0.15692416420431468,
          0.18904030370944216,
          0.19198760664195016,
          0.19280812698886127,
          0.22794777180514667,
          0.18453081019093326,
          0.19191947689545363,
          0.20621720226910767,
          0.21403851508796776,
          0.24587378187363007,
          0.17329868440207297,
          0.22598491554910569,
          0.14459735562423293,
          0.20262266377194918,
          0.21175534493309547,
          0.1833018570199538,
          0.21497666724098816,
          0.13389327337033965,
          0.18453865795235783,
          0.2304564205807529,
          0.27600166983597646,
          0.1764748926529436,
          0.16197737982240035,
          0.16532778845355303,
          0.14786357112421586,
          0.1654135350211399,
          0.18520393333080454,
          0.20651226096317882,
          0.23452708904361022,
          0.22972255832003752,
          0.19370894047958956,
          0.23013541892535416,
          0.1974979929883385,
          0.19646065237932142,
          0.19308156086069905,
          0.16707277181512897,
          0.203772210351724,
          0.2030536970597326,
          0.19900581603709047,
          0.21328724824351938,
          0.16075828268485953,
          0.16876987566569332,
          0.21156680823231566,
          0.16738571410741138,
          0.21748824980433268,
          0.13436425292281784,
          0.19390303131876974,
          0.1509366586977194,
          0.22999661966079296,
          0.2098841613512072,
          0.2325687310291955,
          0.21896249471814383,
          0.24018790433655934,
          0.14132962698867904,
          0.218699206487499,
          0.1503310853725507,
          0.178069107237897,
          0.1789812484039826,
          0.2195132744776436,
          0.1623497613042095,
          0.1640437694630369,
          0.227039725172324,
          0.15181205371067105,
          0.1985081427631993,
          0.21368587850906734,
          0.18442871563994326,
          0.18940463653651354,
          0.1683479292813076,
          0.18739240102155055,
          0.2018958717490598,
          0.18854880619652029,
          0.174624090993721,
          0.1984161134438387,
          0.21085890828296772,
          0.23863708223929642,
          0.17259091023740045,
          0.19495255562697508,
          0.21506936275638275,
          0.19179184355230686,
          0.1839186147125571,
          0.19556940925645747,
          0.17373710825809846,
          0.195775095702101,
          0.2000324051519596,
          0.1807562763619619,
          0.16501194541585634,
          0.17384262083732405,
          0.2398046031636386,
          0.21398530699527613,
          0.19110662235042694,
          0.177126753978255,
          0.22346650648939465,
          0.1624930015033525,
          0.19712323931195505,
          0.19281021676800073,
          0.24182400293553946,
          0.15535806903778687,
          0.1919502156043109,
          0.17163753009150634,
          0.17867563075960252,
          0.17780585847779826,
          0.22143738460713763,
          0.22747183589523154,
          0.20342479929502583,
          0.16115995915188022,
          0.23486255008541002,
          0.16109895593227988,
          0.1806298828997405,
          0.16792224537897327,
          0.17192940670066625,
          0.17354406904590394,
          0.16316468515989468,
          0.16297300164654263,
          0.22458961598459354,
          0.21536572154800085,
          0.22837916412404938,
          0.2077852563200791,
          0.20310250861442553,
          0.15839245572023886,
          0.20754882665236066,
          0.20791774713285316,
          0.21299118911356812,
          0.19209586485697933,
          0.22856657917734774,
          0.2123327368693192,
          0.23971317807891865,
          0.22440796574927432,
          0.2037012455128851,
          0.15291486552902492,
          0.17358944568438894,
          0.200079009842252,
          0.19670099739446184,
          0.1962901111767462,
          0.22943605152270835,
          0.20229839076151576,
          0.2122480039078985,
          0.17986790701123984,
          0.19305664924279003,
          0.18306844755747972,
          0.18895472584310613,
          0.17515271328854554,
          0.1821065901988193,
          0.18795120681317437,
          0.1780916891420937,
          0.21337029956759315,
          0.19760276880249672,
          0.2072965593483291,
          0.20098319827822816,
          0.20975300767810004,
          0.20748295454229448,
          0.23405023812736808,
          0.1703023918397265,
          0.2120046114411688,
          0.2416835611128947,
          0.20663001471567494,
          0.2101656135302126,
          0.2179889094348055,
          0.184297922482831,
          0.2039731387126014,
          0.19442824592155786,
          0.19320213213113913,
          0.18338871733091702,
          0.2128751648046869,
          0.18808681876773548,
          0.2211323511088067,
          0.21377871456852288,
          0.24845976585235782,
          0.19695893918189983,
          0.21873152705478432,
          0.17634088280930044,
          0.22217838372924398,
          0.22978111454655986,
          0.21080445558505423,
          0.15873354372379594,
          0.20428354482191116,
          0.18175466001250773,
          0.13289475293301745,
          0.19193598439048598,
          0.20382441963754683,
          0.20289456006687076,
          0.16611375239471146,
          0.15276111318737198,
          0.25252007718604774,
          0.21702257591776072,
          0.22138599243737442,
          0.20674736962453918,
          0.17598185669588368,
          0.19318242593920948,
          0.2385246623079127,
          0.19503387057713645,
          0.18774195469528474,
          0.19484866624720817,
          0.183038653672635,
          0.2403434044378336,
          0.18490620130240049,
          0.21474950394771267,
          0.152778519611482,
          0.18052818338414084,
          0.19755224006041638,
          0.1915228606473552,
          0.21786267848531812,
          0.15720209506591168,
          0.15422182305987434,
          0.21614215493749847,
          0.19505429361896154,
          0.18677663043881776,
          0.22763321907393674,
          0.19721841134568124,
          0.17029593051747532,
          0.20642337003166122,
          0.19771783555911873,
          0.26765553360630145,
          0.16276040262885028,
          0.18007939757709915,
          0.22501240247674414,
          0.2136693143342573,
          0.21804940629246425,
          0.1871812673340521,
          0.18109180470228753,
          0.1657513094527388,
          0.1593888712321269,
          0.18984059304104398,
          0.22071604776422035,
          0.19320198112077855,
          0.20141518668039285,
          0.24690303994436963,
          0.18341419861626523,
          0.20282992785091677,
          0.20491565733446795,
          0.22996660392043844,
          0.2162689183206971,
          0.20495059502419083,
          0.21207483326193374,
          0.2196279541103339,
          0.18576238185843458,
          0.24339168029928185,
          0.20633536135589983,
          0.14243322658880433,
          0.1785204825386014,
          0.22294600896910968,
          0.17146062032181456,
          0.18010077062100738,
          0.17901281488910276,
          0.18902618434525384,
          0.20212027321452858,
          0.19985623925280166,
          0.19126551348775522,
          0.16649280552570858,
          0.21432038137231216,
          0.1755522000071667,
          0.1386143112085156,
          0.17861978642893467,
          0.2513767389178147,
          0.19769110004360665,
          0.15546724974618023,
          0.21990096728010208,
          0.19041108514030244,
          0.2016706534615534,
          0.16696941153954864,
          0.1646672812624255,
          0.1780397212594501,
          0.2158160392000351,
          0.2029982241745744,
          0.179099750406244,
          0.19245513070879022,
          0.16873913761298467,
          0.1774533560467138,
          0.18394876579410518,
          0.2149710063501929,
          0.1805296122749215,
          0.21279074148616905,
          0.16724081739440627,
          0.17601346876245544,
          0.19287383944747388,
          0.15947753749639076,
          0.21749100583910166,
          0.18398866029607908,
          0.19227661221062753,
          0.20156623171781246,
          0.20481771411754943,
          0.22399321360747707,
          0.1627425846647927,
          0.14637588751236302,
          0.21460348860343492,
          0.19481924185223162,
          0.18161608883751854,
          0.20527850234059836,
          0.21172569829904384,
          0.18901074780308905,
          0.22150378970516627,
          0.17754270147175094,
          0.18395153901912373,
          0.21951749766897896,
          0.22016847679797952,
          0.1994994579155177,
          0.20856840434037238,
          0.16095189052521158,
          0.1987462227753836,
          0.23213059382419451,
          0.22864373492315013,
          0.20472252796278265,
          0.17449114395733803,
          0.24326460543508427,
          0.18527148456802875,
          0.24119136825129278,
          0.16234593423163948,
          0.17819844866947304,
          0.23180552698902926,
          0.17687823714819412,
          0.19377028884424502,
          0.23098448599117974,
          0.17609468925462285,
          0.25216637545367004,
          0.18214274648042195,
          0.2597160822271848,
          0.1860949261894667,
          0.21701857007819603,
          0.17414790080025683,
          0.2132670867046981,
          0.19402856120211037,
          0.1724699947338974,
          0.1657716600107159,
          0.21965100502787197,
          0.20575203860174848,
          0.21016662796099048,
          0.1827315860849862,
          0.2337800831497342,
          0.21539401999223115,
          0.22312340673045847,
          0.1674583030695523,
          0.23009196412581423,
          0.19911036225559545,
          0.2105367198077528,
          0.19290426634769636,
          0.17643871282232293,
          0.20467613958758019,
          0.19422617265196612,
          0.17584787444389036,
          0.16454332954482323,
          0.18780417225162083,
          0.18631223384839618,
          0.18606501782606344,
          0.16886885565656257,
          0.20141602489821686,
          0.13650984047042392,
          0.2150616393695953,
          0.1954626005518658,
          0.17976165226130617,
          0.24970787945575304,
          0.21146417599203066,
          0.18005356560949998,
          0.17451262054381522,
          0.2094938850308186,
          0.21819633559909887,
          0.186880960387721,
          0.194827246827671,
          0.11639209089176282,
          0.18993049260509648,
          0.20350539117744054,
          0.2382127875563474,
          0.22077196138938712,
          0.18955044984849373,
          0.17289847919604692,
          0.2104790035008229,
          0.24216642346902462,
          0.17296716323308725,
          0.1846842930187633,
          0.18689532871627984,
          0.19732229996119224,
          0.17468758322121206,
          0.20265435784707234,
          0.20141757721200318,
          0.15372629885260344,
          0.18387072868788937,
          0.2380660874090019,
          0.18102570166016,
          0.20307541915111738,
          0.20505681139290022,
          0.22687525029382372,
          0.20592299995435956,
          0.19947630285351417,
          0.22774163881612214,
          0.14135090838646786,
          0.2204534753536951,
          0.19901312102537538,
          0.18855633118501555,
          0.21929355211788518,
          0.20724968919604933,
          0.2057789010050934,
          0.2369400146156479,
          0.1586515839340278,
          0.2153843428182528,
          0.20040713735338786,
          0.17782898107356548,
          0.23483316517988628,
          0.17172019589345544,
          0.18180665289502543,
          0.19530779386753033,
          0.14753273411345585,
          0.1648797634681123,
          0.1988999598188666,
          0.15757477585471832,
          0.21870332313557037,
          0.18744713769127952,
          0.17088631761425233,
          0.19600256708885944,
          0.22640009744182757,
          0.18433481076123676,
          0.19025893990740206,
          0.1590397717905062,
          0.18622065137117716,
          0.1406929402531314,
          0.2006634270669342,
          0.23891085144397223,
          0.1573630605187547,
          0.19874065552602957,
          0.1436423503328472,
          0.2320701508476322,
          0.1885838812867801,
          0.2162048458767639,
          0.18688773501777395,
          0.20345606402485636,
          0.22597761830341298,
          0.22373637511340905,
          0.2532744301914023,
          0.17603566149173425,
          0.17064198076429596,
          0.17645153751063036,
          0.1749762979986698,
          0.21729060331105068,
          0.1698465971663677,
          0.161567643166341,
          0.21819686750292092,
          0.185037702077189,
          0.18292160993306422,
          0.15141376922634964,
          0.20779727930285116,
          0.2170552169723787,
          0.2098970013732801,
          0.22462522616277517,
          0.20295457908269987,
          0.19270695829101764,
          0.17735965222337643,
          0.20119506300237922,
          0.14536914946224946,
          0.17527678955953477,
          0.2014735014666212,
          0.18199762189942498,
          0.21826112689100272,
          0.18163557126435173,
          0.22360870784968837,
          0.18893431909080066,
          0.19136718983629594,
          0.17405095919376898,
          0.24217686145775835,
          0.23900455155824926,
          0.22492819990130056,
          0.18862645283276705,
          0.2281214851789916,
          0.18835801275521152,
          0.22846067046009455,
          0.2260507838137215,
          0.12429081641991116,
          0.1819673014443745,
          0.17839368415034107,
          0.20423096827535675,
          0.18917003703851246,
          0.20817319993316533,
          0.20576579317785165,
          0.12963974874459333,
          0.208754589170797,
          0.22309549649200114,
          0.1893359047421609,
          0.1924917755966173,
          0.20947265632849763,
          0.23780146618614406,
          0.19229791760147888,
          0.19740256728264444,
          0.19053123504600444,
          0.18492557635945941,
          0.21200787137271884,
          0.19159531229138765,
          0.18339752169785217,
          0.2143643772689719,
          0.19200288698974366,
          0.19137804626382704,
          0.23237333880540387,
          0.17375856379204924,
          0.16409165514958038,
          0.19180194254129407,
          0.171957946129149,
          0.20651796833067412,
          0.15246422244882638,
          0.18455496583077163,
          0.21434352061017428,
          0.19452990189888195,
          0.14580938719067585,
          0.18111560287619805,
          0.20321279856453506,
          0.1419290138140649,
          0.1663615378507914,
          0.10700674036702496,
          0.1998681395626293,
          0.17695212489351178,
          0.2071398748474463,
          0.19595740998639707,
          0.22058338686756063,
          0.19071870014233225,
          0.19976914941899335,
          0.18523881209337356,
          0.1956537465114093,
          0.2237799993947875,
          0.18349466607844345,
          0.2446685006996437,
          0.20032125525677802,
          0.15901713713538468,
          0.2119599316411085,
          0.17523067951527802,
          0.22634750091161146,
          0.180508185991009,
          0.19668542859556984,
          0.2299692231684162,
          0.1537122950502889,
          0.1995343919673789,
          0.14955737551674803,
          0.23669079156821704,
          0.20374842764867468,
          0.22487321720475043,
          0.15741197618415206,
          0.1842189080439043,
          0.19416531192849262,
          0.17327200888884406,
          0.16979441987849564,
          0.1468693788714046,
          0.17500952612533113,
          0.17274380880164275,
          0.1574657746365111,
          0.20047613213876878,
          0.23230279678794288,
          0.19331733647921018,
          0.21467740633189436,
          0.21499470517536984,
          0.2245289094984582,
          0.18165335268719388,
          0.22805532713286034,
          0.23409876923627235,
          0.1675961037266444,
          0.18118288969846105,
          0.18845276409025266,
          0.198727470000738,
          0.1737539551426155,
          0.18447877194912823,
          0.20140202282464506,
          0.15711135842021093,
          0.2161546575238316,
          0.1753399065309434,
          0.19912260522758826,
          0.20564110645346728,
          0.20912806305352893,
          0.20962449057348087,
          0.1751321973940416,
          0.1901942326822786,
          0.18959284811898114,
          0.17623265030631108,
          0.16565286462408443,
          0.2135866536529975,
          0.19075897844738332,
          0.1849773217688755,
          0.21659465425530197,
          0.21888115540264175,
          0.20630613781410484,
          0.1956434019171342,
          0.20361966424784347,
          0.22304073741894503,
          0.12561364693402804,
          0.1656420653246409,
          0.2070278727787646,
          0.1859972811994245,
          0.1693814546753386,
          0.15811739374835893,
          0.20718178831546138,
          0.21058176174840504,
          0.1857399271053261,
          0.21170278605424916,
          0.17624921671606628,
          0.18949090847864566,
          0.25885040064894477,
          0.2240825525846874,
          0.2222510940315667,
          0.19248729817467497,
          0.21373358548088078,
          0.19549916654269373,
          0.21180566051573077,
          0.24529820799361216,
          0.25969753916472105,
          0.2198441749557768,
          0.20661544115304206,
          0.19613310736776696,
          0.1637793730862808,
          0.23202255857729723,
          0.17712931749959052,
          0.2247007414768433,
          0.2297884688897956,
          0.22742683167280991,
          0.20218181473672367,
          0.25636178952952227,
          0.24282057735866813,
          0.1943006587709295,
          0.17198998550895694,
          0.19376608709440937,
          0.14900159531041607,
          0.20279012173046398,
          0.15079776552068366,
          0.21429574664743187,
          0.20652481209065304,
          0.2008212592493643,
          0.19374456693792474,
          0.2123241224660806,
          0.1999988999407713,
          0.1969227195879239,
          0.18815802969230844,
          0.19458509028212737,
          0.21182215523682857,
          0.19586109824755277,
          0.21598996162045667,
          0.169129162252933,
          0.24574560670766776,
          0.20438555295229055,
          0.22597987299899056,
          0.22486687949743175,
          0.22057051428188568,
          0.19608312751683382,
          0.1875248438264181,
          0.1722785700066902,
          0.23770983896859885,
          0.21360373836418298,
          0.19705633712041853,
          0.1696646058950434,
          0.15789610826847972,
          0.17533141647405806,
          0.2171589271875317,
          0.23999675389602668,
          0.23902140081960635,
          0.20122218471916864,
          0.237212344007307,
          0.2090087875420999,
          0.22311041630086378,
          0.19558419799181936,
          0.18515963318933246,
          0.20104817771544947,
          0.1657620524049145,
          0.20601964455515248,
          0.2147263101575538,
          0.15159704178421307,
          0.23233818508237136,
          0.20609398867049591,
          0.21046088788737394,
          0.21763382805958828,
          0.2159214391932207,
          0.1789776777765184,
          0.1540681835990963,
          0.18465503442900463,
          0.14087351599605538,
          0.19707830590903827,
          0.18096871924280422,
          0.18635802969276022,
          0.18338625946500647,
          0.21399159322905462,
          0.15470951644542552,
          0.18802325056611754,
          0.13907602864248464,
          0.20579950017228668,
          0.20307686240205383,
          0.21490830597054772,
          0.1501307594145789,
          0.15281509385241135,
          0.20765362404652618,
          0.21688409744575912,
          0.1875364009693947,
          0.17411545696892541,
          0.214242708319956,
          0.26107176731664944,
          0.15755967934795875,
          0.2252733945070187,
          0.18001635284256023,
          0.15464742419173844,
          0.2126985777173353,
          0.18324031626064513,
          0.20480568210714384,
          0.19050461725606585,
          0.19567840454767682,
          0.19463235827514505,
          0.1750332745904327,
          0.1783374470278382,
          0.20845532234515562,
          0.16947707345711255,
          0.21278364967661173,
          0.19194536129476894,
          0.19751203662398803,
          0.21195367144048485,
          0.16304768425824262,
          0.22324338626120954,
          0.1764217862960871,
          0.2147510171298329,
          0.19321062887790355,
          0.194064386551161,
          0.18797220570066228,
          0.19591894720586325,
          0.19596104774024464,
          0.14819740567790687,
          0.2265393391966912,
          0.1642201955841776,
          0.22242705368379045,
          0.21383685124000806,
          0.18659494543288294,
          0.18796095421213055,
          0.1704081107913593,
          0.18957547467311328,
          0.15883168968678749,
          0.18903406177831733,
          0.19045340162430943,
          0.21198319512998373,
          0.20102181056818857,
          0.219334460796782,
          0.15713554677514244,
          0.25079228323600494,
          0.19784708111723895,
          0.21745206365617725,
          0.19648822339900196,
          0.16826613175637153,
          0.1870011880856965,
          0.1670020057912056,
          0.16802558874365692,
          0.21316536232783131,
          0.20044542566769097,
          0.2222619400924655,
          0.17235746889814116,
          0.2200924145803088,
          0.22649914518464223,
          0.1944045419096445,
          0.2360317381838637,
          0.19277798668109697,
          0.206848903892045,
          0.14789098058751396,
          0.22890316949426753,
          0.19339442276569288,
          0.1636690295168617,
          0.18027252042679492,
          0.19303098135397112,
          0.2606731702268827,
          0.17818696930284111,
          0.17035990666198672,
          0.15568465976444373,
          0.1978655830735704,
          0.20667220497224909,
          0.26945107461916673,
          0.21593850497108005,
          0.23432559314275808,
          0.13243563824824722,
          0.2173020267405583,
          0.17934202184602285,
          0.21336573852511864,
          0.16133289324767505,
          0.18383509304393844,
          0.15415663351013792,
          0.22674299804436449,
          0.23190873947571994,
          0.16880012703808253,
          0.19750504309108752,
          0.18404034479148174,
          0.1811598004474404,
          0.13169564063913583,
          0.1361847693276687,
          0.21046563973941226,
          0.182905884219217,
          0.16149809559113096,
          0.19531922358853965,
          0.28208227829743004,
          0.2323139088700955,
          0.17944648455671167,
          0.19597656336142108,
          0.19976247615221987,
          0.18297871432120832,
          0.2282757030984788,
          0.24133882615365154,
          0.16480405212833354,
          0.22388742060092862,
          0.17874744119937716,
          0.21584098626766257,
          0.2097236170187745,
          0.19630540452296025,
          0.14776014827777378,
          0.1536460492469912,
          0.22411647970963008,
          0.19121882469550827,
          0.22667160998811636,
          0.1985599542876426,
          0.15889195199091,
          0.19565948804837616,
          0.17872743058650106,
          0.17650239611307353,
          0.20758335846598872,
          0.2009981651045345,
          0.17083813251788485,
          0.20263371770121305,
          0.18326872008738831,
          0.1694925355743574,
          0.20476579214070667,
          0.17313953903543608,
          0.22207938337233915,
          0.209221713646062,
          0.27664481524946183,
          0.20048284850649037,
          0.22453407969368247,
          0.18440637388245348,
          0.1902825225168415,
          0.1867348705842802,
          0.2100974567836482,
          0.20837182972930676,
          0.2073246816631735,
          0.1916482905665701,
          0.19894867229568958,
          0.19763643131066974,
          0.19358556511767905,
          0.2081972575571064,
          0.19195033866373848,
          0.20392115631074081,
          0.17480149854590268,
          0.2236614018344565,
          0.1700479251954113,
          0.21392027951031722,
          0.1507238639304269,
          0.2333054001624148,
          0.19555307418732892,
          0.21970514245933795,
          0.16059263116254452,
          0.23852254263275074,
          0.18017528591715443,
          0.20004339534757928,
          0.24970160465570665,
          0.16271794380965746,
          0.22570421819627257,
          0.19246136749600276,
          0.21878381384124765,
          0.19857859955039434,
          0.1883769554561001,
          0.16436848350622535,
          0.18281293324375075,
          0.17512497104071548,
          0.18826998524717203,
          0.1909849850930724,
          0.15956612932375533,
          0.11830871026506422,
          0.20602599842157976,
          0.14168024856711015,
          0.2008761444663864,
          0.1669066660314509,
          0.20675932546915965,
          0.20318495409807802,
          0.1647499866744179,
          0.2330771736829648,
          0.2204692885703962,
          0.17409183955670474,
          0.19364462929407775,
          0.2708373734689921,
          0.17646242926796563,
          0.14193891410959447,
          0.17892617469349067,
          0.18129353244863267,
          0.16903481803880188,
          0.17490630385704925,
          0.21713103486314309,
          0.19400390318482744,
          0.16342206711978852,
          0.1964926118069372,
          0.17467718870834162,
          0.15820254017252658,
          0.21487385108235502,
          0.1930822908079075,
          0.1991141571540899,
          0.14658615616864548,
          0.17456120000331232,
          0.21736119007169924,
          0.16892243524880762,
          0.20489385132280508,
          0.26901111217221396,
          0.23212205798332608,
          0.19890302670514057,
          0.17278456369949016,
          0.1967434036618113,
          0.18942967088489115,
          0.19241228305507213,
          0.23522111316451666,
          0.21223472015842382,
          0.22033535435724985,
          0.1380004968360732,
          0.20986364749520656,
          0.18626409209225772,
          0.15186227186623077,
          0.1999947671455693,
          0.2177031890143976,
          0.17337598150803407,
          0.1727252021044311,
          0.19220350725029295,
          0.19660490095003297,
          0.21444151584537,
          0.19611692770286313,
          0.1973284353582483,
          0.1967991710028191,
          0.1781806305928702,
          0.1888384702380558,
          0.17455091243483442,
          0.18860313062490391,
          0.18912907257704584,
          0.2567230896061525,
          0.22180679851382987,
          0.16974939770992237,
          0.19950899101803282,
          0.21176263727367317,
          0.16294003771302815,
          0.22597805510380586,
          0.2044802266850863,
          0.18996531963616387,
          0.24071693168971248,
          0.18408622342600767,
          0.18296318693187988,
          0.22523097744741966,
          0.17839522372241715,
          0.1895321431553512,
          0.2043213005483411,
          0.1799057188100327,
          0.22781660033342796,
          0.25488457219156735,
          0.20379877476493416,
          0.19676638190127888,
          0.18416293263709524,
          0.18379474369642404,
          0.20164404253720955,
          0.1934738540801342,
          0.21708854471573852,
          0.16952829116568935,
          0.17548292127685375,
          0.1374479480557539,
          0.16639030876768426,
          0.2123622045187073,
          0.17187129762371656,
          0.18396324751609205,
          0.17263376869064248,
          0.17425516866887425,
          0.23154099960749552,
          0.20221109805367635,
          0.17386856845820944,
          0.22436731736159532,
          0.1887391249413583,
          0.1831866269118461,
          0.14661175353606615,
          0.23222939754104555,
          0.23214055121904728,
          0.2144587183432485,
          0.1965053211336298,
          0.18316659419542455,
          0.16067978604048058,
          0.18770721379797065,
          0.1693450759868626,
          0.23199459523907065,
          0.18817943350364946,
          0.1850172470176641,
          0.2419424092700214,
          0.13943863042789284,
          0.201759323883894,
          0.21916439457535508,
          0.2370536418370013,
          0.17520439337814087,
          0.18414915272270638,
          0.14679711420770966,
          0.21428858416546956,
          0.1510585048796116,
          0.21297962041156154,
          0.19806041864087648,
          0.20463096623459176,
          0.17071360903508936,
          0.20144536450786626,
          0.17469964188915962,
          0.21862981775168755,
          0.17985386438771098,
          0.20522846779833276,
          0.17838832816697417,
          0.20849644186048794,
          0.16147212978877282,
          0.19688047497131378,
          0.1807590755892445,
          0.22653188713763242,
          0.18379588673101613,
          0.16288174512409317,
          0.20094591918599863,
          0.20246116387897561,
          0.21232460283242008,
          0.17123433486696293,
          0.19791810234044802,
          0.18802426579982406,
          0.19600548857597588,
          0.2115559293558717,
          0.21810636681844447,
          0.1964052234054844,
          0.21583528979101024,
          0.151403441907545,
          0.1941444431327532,
          0.1930823636293874,
          0.2015737226593242,
          0.13989271734538258,
          0.20002504721865477,
          0.2387148840806512,
          0.18751275337536016,
          0.19249340520447952,
          0.16638591783032813,
          0.2096667297285045,
          0.16734389389139614,
          0.21333034350958516,
          0.20506577716350408,
          0.19067691985441024,
          0.19295343686043515,
          0.1741961451044848,
          0.2176920409787697,
          0.17929801713249519,
          0.21075039355796268,
          0.21497270826254503,
          0.15318569961876627,
          0.1800789658996997,
          0.19638062460668707,
          0.18590998482324433,
          0.1406558590319446,
          0.20342661453637673,
          0.19381780757373354,
          0.1841613823881833,
          0.19432268307076875,
          0.20350476569126558,
          0.21546865204723764,
          0.16943736206845886,
          0.1798248635080461,
          0.19672446117225725,
          0.20200197512569898,
          0.2029326163377059,
          0.1670030854257574,
          0.13752254428709565,
          0.15013214058270732,
          0.17541144092999295,
          0.1440416380856431,
          0.22175527967970354,
          0.18936999831125917,
          0.2244125748487317,
          0.21155360566686893,
          0.2195590809703975,
          0.24593419398163124,
          0.21661825897206924,
          0.19709838304353783,
          0.17717191593705908,
          0.19686144537407665,
          0.13264934097489395,
          0.18123507032606542,
          0.16119552263794906,
          0.1892650476133404,
          0.22115598923483004,
          0.21532049462275218,
          0.1463048647890888,
          0.18716325281256913,
          0.21350536419301358,
          0.17230627450358443,
          0.1876141796264891,
          0.1535184650734646,
          0.19136523051415621,
          0.18236783779087334,
          0.18482229977666847,
          0.1776041182305994,
          0.1828338439615519,
          0.23345911915834533,
          0.18725412373808628,
          0.15924895312299348,
          0.1874629735049777,
          0.18354541008351588,
          0.2140181559963904,
          0.20375586563416684,
          0.20654933573916381,
          0.20778262400147876,
          0.141065372935685,
          0.25546456282757396,
          0.19500386880190373,
          0.20100776699146541,
          0.22930011421049648,
          0.22017224534453872,
          0.15844803919556968,
          0.20649502829159855,
          0.17560770388594324,
          0.2249656168815661,
          0.138038432662333,
          0.16090853464879112,
          0.16072603700341,
          0.18507609324766366,
          0.16585496169460615,
          0.18804269515289065,
          0.18365704478313488,
          0.2488322084853685,
          0.20781239208251276,
          0.23635083104543753,
          0.18470566192483118,
          0.1823497432588992,
          0.18432525784362708,
          0.24465614613640346,
          0.25439477692054885,
          0.2126851043402874,
          0.16494027948126322,
          0.18918236425691853,
          0.1673701328292612,
          0.23580449441471746,
          0.19627610688123268,
          0.16255434392258486,
          0.22270679895334855,
          0.19654305398934507,
          0.2023053213132817,
          0.20383943174917352,
          0.21402922956706338,
          0.14166286302029346,
          0.21066133192968975,
          0.18656825030205887,
          0.19912881559636092,
          0.17554601259541885,
          0.1944324100011734,
          0.18121910138102806,
          0.15982635390805272,
          0.15889134195621105,
          0.17478708053631772,
          0.1587154402563259,
          0.2112993356826415,
          0.17454890260827763,
          0.23224494401766504,
          0.15131191735920266,
          0.19690254051405018,
          0.18425073564717087,
          0.20788342763318607,
          0.2647318460469819,
          0.2006519571860098,
          0.2534217716305788,
          0.16286055429345347,
          0.196483871471738,
          0.16673994188933972,
          0.16940177382351787,
          0.22563989591776937,
          0.21282109857677195,
          0.1972641571591579,
          0.2411440141293769,
          0.184589644048423,
          0.18890073477628316,
          0.20385795775637927,
          0.1296682750745977,
          0.2140641761270899,
          0.23399997014789048,
          0.1458006696987253,
          0.20074092905865484,
          0.20391309485797138,
          0.24415645531574168,
          0.15868149458534056,
          0.21216481218520655,
          0.23260582006857342,
          0.20332551669489135,
          0.21186804638934964,
          0.19267195602095688,
          0.14086414653157014,
          0.14843130897695886,
          0.1835369614197795,
          0.2009123217705543,
          0.22709014418299667,
          0.17960142874220295,
          0.17072497354573646,
          0.18672096872787503,
          0.1967682782574504,
          0.20995525264888257,
          0.206508380764155,
          0.1886497496244571,
          0.21437226676940618,
          0.13236674537277454,
          0.19966327898605066,
          0.19081275634535583,
          0.23360497007869938,
          0.18242677757711895,
          0.1971549123012025,
          0.2074086748568582,
          0.15323457412553942,
          0.20232592251565676,
          0.16544381771213235,
          0.19053761246683776,
          0.18467184749957868,
          0.23775627465774554,
          0.19981141512139058,
          0.19975215610143168,
          0.19352967074604605,
          0.22137027425532488,
          0.21992101270150585,
          0.2081600075659874,
          0.2237773947465263,
          0.18636316555111707,
          0.20200686728691727,
          0.22440286617664384,
          0.14120465883048325,
          0.22913109795965264,
          0.20886647022658597,
          0.21658247782685386,
          0.19770290369231505,
          0.22930041897281173,
          0.23728670475243704,
          0.22725489727742118,
          0.21378071901095586,
          0.2284565859938037,
          0.2265190616534665,
          0.1526694440895964,
          0.21817546826252235,
          0.21226685941841136,
          0.22701677907346818,
          0.218273474517683,
          0.20219767048753529,
          0.21469101977439844,
          0.1561644414397825,
          0.21461445334490567,
          0.20368313569540594,
          0.18211967930470516,
          0.16986193672038943,
          0.21439169878919762,
          0.23958223325595404,
          0.19668818218083597,
          0.17577494032825333,
          0.21512954077174415,
          0.1367039721536213,
          0.19755614113542194,
          0.19910502732401214,
          0.20262374050280038,
          0.18103728786261666,
          0.18439577100204246,
          0.18996618792594813,
          0.2381251339084926,
          0.20408375366507997,
          0.2489297058315172,
          0.21672863829582537,
          0.21831113846387376,
          0.22353873974643726,
          0.2017795378511194,
          0.19688126531532038,
          0.22046680176605968,
          0.1679181979621855,
          0.185242848340983,
          0.14842496837132346,
          0.18123587167886535,
          0.18664166479198915,
          0.2001502337972524,
          0.1911139708223856,
          0.20365027007132316,
          0.21220524666807875,
          0.17687117464351107,
          0.21148796899629052,
          0.1515156456863997,
          0.1425615322389764,
          0.15129144806979333,
          0.156515530320008,
          0.2546872518304061,
          0.1891115213896498,
          0.19428024402221514,
          0.18476481754769786,
          0.18657694280436235,
          0.19100962125619786,
          0.18490446108958272,
          0.21335986642352084,
          0.2151571431422012,
          0.18960783127371753,
          0.1924883725874316,
          0.20491899150307105,
          0.14639285999471333,
          0.20050753191757537,
          0.19525770613015464,
          0.21358225296684588,
          0.21732681948566449,
          0.15424439890392735,
          0.2230501720085254,
          0.19948881814910124,
          0.226519728296278,
          0.18761887194385646,
          0.1593025553723584,
          0.22491189643602813,
          0.20004674084614568,
          0.23918874693674647,
          0.18211473476548706,
          0.23370842331622238,
          0.18014681981816447,
          0.1691780451802194,
          0.1527795710685865,
          0.1847813880306035,
          0.18073488179260827,
          0.21009726389710637,
          0.20575812471755342,
          0.1961617139215328,
          0.23718816839126028,
          0.18666051543389192,
          0.20091957756755097,
          0.17562855137483055,
          0.20856280082171783,
          0.19920122620737185,
          0.15780217484303674,
          0.219057745621536,
          0.20559538416313827,
          0.21136819889253336,
          0.15376767878234962,
          0.2245475680979293,
          0.18024411793474773,
          0.23105457404106008,
          0.18074333840131365,
          0.20546505482831937,
          0.16750634869693337,
          0.2028363916613683,
          0.22410799959891314,
          0.19785395367291772,
          0.17738841134751052,
          0.2306632474287756,
          0.18587868982774816,
          0.18917017242389514,
          0.18128414122462919,
          0.19916062284075817,
          0.2018844893748562,
          0.17686782238696222,
          0.1919213480478656,
          0.1544757037139718,
          0.20960707992023234,
          0.22657266605174362,
          0.1908017782121385,
          0.22579865111791608,
          0.20565360082660158,
          0.2143249862309496,
          0.17497069191849987,
          0.22379458744731323,
          0.15593822765157817,
          0.22954508156088135,
          0.16137035711818754,
          0.17011434759734853,
          0.19492959325883075,
          0.23048474656572118,
          0.19405407160512594,
          0.19907678551754998,
          0.18298380038394066,
          0.23792993150045835,
          0.1664650919310223,
          0.1945422173531539,
          0.21570336152839678,
          0.22774263368382958,
          0.2390822940775262,
          0.21607764100353627,
          0.16240248369275212,
          0.17408085731177386,
          0.18906870193359254,
          0.19440045528611566,
          0.16580066654985806,
          0.22583138208018422,
          0.19012430168398434,
          0.21617485095988562,
          0.19194333984947765,
          0.19922387071980616,
          0.134857684488591,
          0.18111839373599015,
          0.1842771469740681,
          0.2338022495285835,
          0.22047455000711477,
          0.1768482681663165,
          0.19616350212501077,
          0.17025033934714923,
          0.24029392975560226,
          0.18616159102663654,
          0.2317345907592652,
          0.17862688389809217,
          0.20056503842063925,
          0.19278500211046465,
          0.1975835608868559,
          0.22095083457554546,
          0.1420305550292827,
          0.18597482183000022,
          0.1968598408164696,
          0.22845571121442027,
          0.1355196758640033,
          0.19083876680930656,
          0.1698628594495385,
          0.17321407039331355,
          0.1910413308097884,
          0.20692253730555094,
          0.20392170037052376,
          0.21012607389818502,
          0.15585554119800596,
          0.19212232137021298,
          0.2068398021943501,
          0.20704529834397972,
          0.17576194913599105,
          0.18827847202987807,
          0.19795128255083697,
          0.18495952018918993,
          0.15239586334241054,
          0.1706336606703647,
          0.16397661945676203,
          0.23641072571121732,
          0.2359907242376685,
          0.1924543940704831,
          0.1735155749522048,
          0.18406812418291757,
          0.1997561622827417,
          0.2166750890870438,
          0.2461276321620055,
          0.19767713516921,
          0.21566398283428911,
          0.17928271803529586,
          0.1813198434375081,
          0.21245540791982576,
          0.22352406963027982,
          0.19196476873634424,
          0.18761864327831862,
          0.18785136391204593,
          0.21522881602834354,
          0.1693615850655519,
          0.21859279049802693,
          0.23168059752249284,
          0.17579637842015142,
          0.1477124622725919,
          0.19128331877324167,
          0.20674399197410695,
          0.18560467720855553,
          0.1599764325324625,
          0.1511819407721792,
          0.20536224054792349,
          0.18880696961362406,
          0.17973407981121267,
          0.19162941265001082,
          0.1954821002992668,
          0.20366276673206785,
          0.167898326962387,
          0.19782170588732273,
          0.18746626741850064,
          0.1933268621625846,
          0.17487613447811734,
          0.1862032676311478,
          0.24962496955797622,
          0.22967230899191093,
          0.16833652242012673,
          0.21768211777343816,
          0.20613880660912223,
          0.2007261165827471,
          0.21006955896746643,
          0.20199557572419544,
          0.22018156767458638,
          0.19353911211180502,
          0.18165165607751843,
          0.18829232296752701,
          0.19897679190963302,
          0.13884978284229485,
          0.19641149456348891,
          0.22815013685558244,
          0.14440545318979692,
          0.17219455255558427,
          0.13323326380799,
          0.1875668541148473,
          0.16392153377881796,
          0.19767299528018573,
          0.20256303683615232,
          0.21996384198427993,
          0.22323586004130597,
          0.15096119315775275,
          0.15235602806642265,
          0.19032574736360616,
          0.19043141553618098,
          0.17940643243464188,
          0.16373407087163933,
          0.17209638729164758,
          0.1865622130691321,
          0.20130008015325712,
          0.21447220183236013,
          0.21358086553920094,
          0.2426176894953638,
          0.1740369521839106,
          0.18808419251333047,
          0.21593205582369762,
          0.15615597313107876,
          0.18925113212940287,
          0.1868219391507652,
          0.19396041538539277,
          0.2044107781128352,
          0.21508355354811037,
          0.19616969242500526,
          0.21270323037230704,
          0.15351022057608785,
          0.2232535003243995,
          0.18648753908546695,
          0.22013434289857575,
          0.15567926237214694,
          0.17558884874351804,
          0.20393690492243494,
          0.17988914753865848,
          0.22415869618590598,
          0.15949203783803467,
          0.18287122137627884,
          0.16838024959860873,
          0.2197470057269248,
          0.22805727179782173,
          0.20004369947227635,
          0.20029187144771463,
          0.19827469598557668,
          0.25353460047367216,
          0.22132101413857166,
          0.2298342844892541,
          0.2260862262031953,
          0.18105445498784015,
          0.23025721450840425,
          0.19496013015114008,
          0.17980694921141965,
          0.2053116261810852,
          0.1966353593453708,
          0.21981024621549627,
          0.15986457472116375,
          0.1499597470331436,
          0.1668322578638772,
          0.20719633001726168,
          0.18946648734324217,
          0.21024307113816298,
          0.18490407772097137,
          0.21057303435269525,
          0.19642699631834634,
          0.1823816702506121,
          0.20330241289254652,
          0.18080328841919827,
          0.2109936382433825,
          0.17229224560998158,
          0.20189996904692134,
          0.19918586015698025,
          0.21791884358881494,
          0.1986543356774637,
          0.20328117528915876,
          0.26431574320673895,
          0.21844682331950507,
          0.23328257394830124,
          0.19959031912529931,
          0.181137789707985,
          0.17312035560920452,
          0.1382614314237613,
          0.1805374132251644,
          0.205979313877013,
          0.17714633197745874,
          0.21216976473953422,
          0.14866646441717696,
          0.23532570951136528,
          0.2030425917846814,
          0.2203872277514359,
          0.17305936992003917,
          0.1471035247242329,
          0.19455130678805996,
          0.158017830301968,
          0.1915505854373434,
          0.2093576237728377,
          0.15268006822444502,
          0.2217532893888794,
          0.19672499946353234,
          0.23471816869005113,
          0.20080871216283236,
          0.15740049914922918,
          0.20608905914183015,
          0.21986417887720994,
          0.19074690029002167,
          0.19096448226092527,
          0.19934941496380026,
          0.23175212964031142,
          0.16097430872703952,
          0.24479224167885738,
          0.2002683685144104,
          0.17455346103196032,
          0.2289347689084676,
          0.23024727712060478,
          0.19984271039116788,
          0.15527343505316993,
          0.18184688263580323,
          0.18898992809734622,
          0.20092611759049767,
          0.17829919004815997,
          0.19217199840047994,
          0.23938961756997662,
          0.17166398758456847,
          0.22083409140822047,
          0.21900876311357814,
          0.1604963325911076,
          0.22280805174963964,
          0.2231074048287151,
          0.2110448334799708,
          0.2258636383785983,
          0.19627689219697284,
          0.17637447370399892,
          0.209835427703925,
          0.1897113308864221,
          0.19690677444702548,
          0.19337330787524915,
          0.1770196388629177,
          0.20144753603299553,
          0.21528485302412026,
          0.17842401133793764,
          0.26046700817321267,
          0.2169054704717452,
          0.1979660274698543,
          0.19282592777128812,
          0.22418236006933764,
          0.2065083943656829,
          0.154459541403377,
          0.19952941550321157,
          0.16199477083559155,
          0.20796669688539093,
          0.22629098567996037,
          0.20828669509013462,
          0.19505264190532104,
          0.2116402503292233,
          0.2162260025159557,
          0.200600428032451,
          0.2512958445921983,
          0.24182627536661538,
          0.1816829499452116,
          0.15428945660499685,
          0.19868607935998595,
          0.1923733967386979,
          0.20715220100095352,
          0.22361759673838516,
          0.21952413481947072,
          0.17957670753403107,
          0.2041194099165676,
          0.1942800273879819,
          0.19722223093677183,
          0.21467076403682578,
          0.22018899254678395,
          0.22778687628421426,
          0.1730710670640331,
          0.18706719657083043,
          0.18947892115003168,
          0.2066764762444909,
          0.21049042317576067,
          0.24645881920528664,
          0.1951514561406311,
          0.21994044354296075,
          0.14772150056669633,
          0.1929888448434292,
          0.2294024999025362,
          0.19210642694671484,
          0.1461158483705087,
          0.2359412760581812,
          0.20563637289171108,
          0.2040836435501626,
          0.20913141292707682,
          0.1764575690717314,
          0.17868931657426604,
          0.20857617886791802,
          0.14029489391996813,
          0.14865526846918067,
          0.20826334002781532,
          0.19296022558725118,
          0.15289400353880853,
          0.221588618020015,
          0.18520087802573207,
          0.16802337517634905,
          0.20866894154909701,
          0.2116797390956159,
          0.1904389100103727,
          0.18264120587550978,
          0.1413586137173608,
          0.15547385425841603,
          0.219680148336312,
          0.1792899953895946,
          0.2224197415825876,
          0.23133859748538055,
          0.14961697522343997,
          0.1643163124411669,
          0.1963094156639566,
          0.22982170475612343,
          0.20420844384277065,
          0.17594944354643485,
          0.20716371007474527,
          0.15168984122325074,
          0.24812231872494894,
          0.2256278639016037,
          0.21527884833227556,
          0.2322628666894172,
          0.21278511627664892,
          0.20208271445132603,
          0.19546754221107474,
          0.20667421059196836,
          0.17747221789865594,
          0.16684983277205878,
          0.2462687956408644,
          0.17069349917340448,
          0.14861700722808463,
          0.22431544660096503,
          0.20346852089129053,
          0.14452348318173827,
          0.19008163254160237,
          0.2287031563730319,
          0.2298423480853407,
          0.2543422173331827,
          0.18380524198997167,
          0.2416921281776622,
          0.16808915858847104,
          0.2041977239873924,
          0.22092987131007125,
          0.20299764129603312,
          0.18935741839828799,
          0.20736564096839852,
          0.1807082908354451,
          0.24525195575622724,
          0.22914311900531711,
          0.20767884740321851,
          0.2074408427041999,
          0.1682255628822973,
          0.1922524156161996,
          0.1890314890827656,
          0.19278477354216567,
          0.17242300321694062,
          0.18413883314887255,
          0.1648389218973921,
          0.1710324193172054,
          0.1829781248059902,
          0.2048965712434219,
          0.24471801990502173,
          0.21105818195442375,
          0.18108660559295223,
          0.19743329563527046,
          0.19931725210222856,
          0.21200968382965119,
          0.19245469703354234,
          0.21638958456220206,
          0.21712510129599197,
          0.17303121391912255,
          0.15219671306947638,
          0.1936692797111249,
          0.18204499988043193,
          0.17541532464934514,
          0.2038995871854238,
          0.1906163057904287,
          0.20248889380219823,
          0.19798203299825826,
          0.1714375395511599,
          0.16879193831282666,
          0.22303674048292044,
          0.19869054772424563,
          0.21433399206686576,
          0.24015356506685487,
          0.23012414409070436,
          0.23523908927735207,
          0.1861630024169314,
          0.23106184583227404,
          0.20563392758065643,
          0.19633326363944217,
          0.23274753288251265,
          0.18169887962677145,
          0.17207673795918071,
          0.19873155703539433,
          0.1456640453374921,
          0.18054703068623126,
          0.1510019762890436,
          0.11464567884720878,
          0.17680084912131874,
          0.2218700004708628,
          0.19524490517629955,
          0.1883830837844514,
          0.23418192066360705,
          0.1563378042571807,
          0.1651078606371938,
          0.19043190588381478,
          0.19502965556854468,
          0.21693709883210543,
          0.20549528889745333,
          0.1793779966747314,
          0.21729163049899694,
          0.19094241948305857,
          0.1763062434171859,
          0.20004061593289996,
          0.19299003493461575,
          0.19332090444854216,
          0.21011789022470406,
          0.17795683950614646,
          0.2346920315005583,
          0.16543343343639777,
          0.1973472657405867,
          0.2279667498931663,
          0.18255401233218668,
          0.16447849692384467,
          0.1519722264235379,
          0.21076727338574827,
          0.2163042154145509,
          0.19580834837953845,
          0.19955626677451782,
          0.16989363131981125,
          0.1770134989830071,
          0.17288609753777515,
          0.2057092256193163,
          0.2466643332873539,
          0.1878355845808235,
          0.19400193930088727,
          0.19284124914153725,
          0.21672800877999526,
          0.15571589401409358,
          0.21093810135026342,
          0.19750841945922015,
          0.2264776931930657,
          0.16647471481971557,
          0.18111301555653767,
          0.1790947946851788,
          0.2025828376453583,
          0.14565398610955407,
          0.2058380935330873,
          0.19273452709660646,
          0.20201228336886384,
          0.17395330709902382,
          0.17724751833341376,
          0.2067939769417056,
          0.20543743263523725,
          0.22157168637648653,
          0.21453325642462237,
          0.24246744025621894,
          0.1964594688543456,
          0.17785911831814744,
          0.18497803578650207,
          0.17961389376804976,
          0.2024644818309185,
          0.23093013205655724,
          0.18947072225267492,
          0.16869553522872804,
          0.18402054850215144,
          0.1776346881847166,
          0.21981817331591436,
          0.19052505571527772,
          0.21338318030138173,
          0.17426526783839427,
          0.16496400021334692,
          0.18345082966929951,
          0.17773665497122124,
          0.1962192852150313,
          0.20746740603353156,
          0.19700611698542653,
          0.19813025751370744,
          0.23521340757475434,
          0.16716550062505395,
          0.2054934318798879,
          0.2427169151297593,
          0.17886407317327854,
          0.25013072441444956,
          0.19813585399742323,
          0.18405241166332215,
          0.20512758819065702,
          0.16063158600798189,
          0.20435356919768358,
          0.1989316995822336,
          0.15871640163628767,
          0.15542601715588475,
          0.19774826629617875,
          0.17047251322028412,
          0.16936478360402812,
          0.20951379648820134,
          0.21249031713074945,
          0.20031071945453421,
          0.18945911607995766,
          0.1501765308489917,
          0.21473134382029901,
          0.2405607870498273,
          0.20606577387200625,
          0.18188172963775284,
          0.20952886850022995,
          0.1686246590118478,
          0.19940168972464692,
          0.1682321633372632,
          0.18800807579860784,
          0.23388844060477304,
          0.22844139657622461,
          0.19067065482088003,
          0.19708934971743455,
          0.23261527283322067,
          0.185047193124908,
          0.23543923643390482,
          0.26441979503044116,
          0.15987176320720312,
          0.17183557735388383,
          0.21071196452407356,
          0.15741172871922102,
          0.2073039305933808,
          0.20995914989571682,
          0.1847836825831725,
          0.19816555778322553,
          0.20110268165542217,
          0.21916703434797777,
          0.1816655921166956,
          0.20775485102115118,
          0.16109108675601436,
          0.16404146477579512,
          0.19364651469716224,
          0.2042877644991623,
          0.16489079115311553,
          0.16704651924895753,
          0.15065732410281227,
          0.1573950732305595,
          0.18290740060878957,
          0.1537689939147418,
          0.17749655597302855,
          0.15671831580417914,
          0.15685327236992372,
          0.14560668650752273,
          0.23405388418889053,
          0.20217744933633958,
          0.20631546563344746,
          0.225404342058416,
          0.19885157504172365,
          0.1719588749826866,
          0.21020799481071284,
          0.20509959127437455,
          0.17681764658378674,
          0.16426219075984888,
          0.1675273291486032,
          0.1865317123003195,
          0.211827067916003,
          0.20595984816931187,
          0.19639901214930994,
          0.18416135836233952,
          0.19438169553928497,
          0.23051960329247667,
          0.1925174412583498,
          0.14862665728116148,
          0.223913628215624,
          0.13576173692205787,
          0.20713355671404776,
          0.20136637804045732,
          0.24732333854993208,
          0.17183292589201973,
          0.1494299926397338,
          0.21743115774348867,
          0.16659316943025465,
          0.12770601340828594,
          0.21198896873121134,
          0.18915645474938525,
          0.2015452017488311,
          0.19893598251719516,
          0.2167772058376297,
          0.12419977106136246,
          0.19879366705392884,
          0.14540059991917959,
          0.18168800818375846,
          0.1768394035098679,
          0.22639585552047023,
          0.185441635124645,
          0.17695980809138573,
          0.19947512534405262,
          0.17695932296048478,
          0.2214659647228081,
          0.1667185137702045,
          0.16335962474179522,
          0.1808913887374699,
          0.19887752121809255,
          0.2547284787869867,
          0.21322201532891427,
          0.21297656330533593,
          0.18182528617795277,
          0.22596732210678702,
          0.18913467845153872,
          0.17861961739525076,
          0.13628522562180972,
          0.23157729839686653,
          0.16821031280631238,
          0.20488894523277928,
          0.2295878962724048,
          0.20856829596354212,
          0.2064996257632478,
          0.18421238047432908,
          0.10582957531329618,
          0.17308116096503953,
          0.20199668148783198,
          0.23328264987773217,
          0.2394626144825615,
          0.1799864221095667,
          0.22915863560531743,
          0.21633112174422664,
          0.20181068466062585,
          0.14287571586201428,
          0.21483337257615384,
          0.15664809159722426,
          0.16749054585700732,
          0.15061435491037536,
          0.2522349089867147,
          0.19457389419426352,
          0.18643307769705533,
          0.17725272227028493,
          0.17699573379189099,
          0.16411115536669976,
          0.14359095094189253,
          0.2295050648869145,
          0.1677038471897593,
          0.16550802337966178,
          0.19378263256748185,
          0.2162659208791518,
          0.1936117883958574,
          0.1808177055895348,
          0.21170289643250798,
          0.1987637236294865,
          0.23249179179366486,
          0.20591423731613862,
          0.2222754821692867,
          0.22433972176774777,
          0.22497594814984234,
          0.15980299086074343,
          0.18957050886038543,
          0.2173928916540289,
          0.21502889845385495,
          0.22253361061031718,
          0.23285992469061392,
          0.19791137759514618,
          0.15494123555749445,
          0.12256164352323214,
          0.13498612600375348,
          0.21133193275224849,
          0.19076196382357025,
          0.155872625147329,
          0.18690253057485737,
          0.24280558691847168,
          0.1856191505820313,
          0.18286935170163549,
          0.22190182010243598,
          0.18389453617792514,
          0.23307464772585237,
          0.17732892154549035,
          0.168537385548019,
          0.19201773240214584,
          0.18691335230072398,
          0.23391576183727597,
          0.1724515595725903,
          0.20234730141730517,
          0.16041817020403382,
          0.17737140760783326,
          0.19268320809645237,
          0.19477356427045084,
          0.17847848625949267,
          0.16853146236527838,
          0.15753246676856872,
          0.19780610343623212,
          0.20059339011197175,
          0.15897714811414093,
          0.1605426427748713,
          0.20297416536707402,
          0.17002226994056807,
          0.17361672922108387,
          0.18623564292690983,
          0.21599176050068733,
          0.14119658272315497,
          0.2002437355275683,
          0.19224612117012618,
          0.1904450063605894,
          0.22471340646204818,
          0.18173461474280095,
          0.1877307802460883,
          0.23989321899031762,
          0.2307264985841721,
          0.21025869844627845,
          0.20231031135384725,
          0.18062466783956777,
          0.2325714091860833,
          0.18238744896587383,
          0.1810126541391622,
          0.2055235191742062,
          0.17046742850776117,
          0.14948553754713217,
          0.19562054354924027,
          0.1878192483872016,
          0.1701603355213928,
          0.22594520384136732,
          0.1753320448006248,
          0.2187157719015897,
          0.24614227973130534,
          0.17397913008717442,
          0.19583165542054107,
          0.15109255655083684,
          0.1643141406682284,
          0.2354342962427736,
          0.1910897794863608,
          0.23008604870570662,
          0.21566905709509132,
          0.16801778941286633,
          0.1676602420506027,
          0.20105307977867112,
          0.18636019613677987,
          0.1952774250322491,
          0.22077367650747756,
          0.20848343269341246,
          0.18339939184670603,
          0.2046900374665261,
          0.20535047457485886,
          0.19561880535836565,
          0.21666457549952345,
          0.20403422467914006,
          0.20956387515577146,
          0.22689417868065417,
          0.22779694631974937,
          0.20985190196000297,
          0.18503965282625676,
          0.17271722388284189,
          0.26084341400011085,
          0.18916302205029842,
          0.1725327648308783,
          0.14744138462519982,
          0.16732174825709353,
          0.22799532699107994,
          0.20529577872949978,
          0.16668669255045263,
          0.23755825029123212,
          0.1621163135849779,
          0.218248101892651,
          0.2165619668935212,
          0.15113049535869844,
          0.18360292269468634,
          0.17765464121265448,
          0.2427674763933816,
          0.17274070938112288,
          0.1615726972807532,
          0.21006077711109272,
          0.20950246638569667,
          0.19399435235995777,
          0.19870208883098,
          0.16200846968804078,
          0.1544004355651334,
          0.17669824271797885,
          0.2297718883667119,
          0.17603422966949323,
          0.18973830150271115,
          0.20167690702165283,
          0.1868287240982713,
          0.2442775887034443,
          0.16994441664398707,
          0.18451881330721684,
          0.17508608230723113,
          0.24210896192462783,
          0.19227999973904117,
          0.23304897345429135,
          0.18863987410081445,
          0.17185047825856054,
          0.14821071874641203,
          0.21901871761668634,
          0.21169467992248373,
          0.23052007225589546,
          0.1828875428631237,
          0.15085638389993264,
          0.2013635183447208,
          0.1762017965695173,
          0.19566626169881599,
          0.18352208642330467,
          0.20739863414395537,
          0.2032931378238474,
          0.1884117381778319,
          0.17772078774853114,
          0.21681980034738577,
          0.19907674532523376,
          0.22827972053152104,
          0.1924229596089809,
          0.21834023139691175,
          0.20344397834082553,
          0.17984451113497937,
          0.15895987799166167,
          0.1826364049530089,
          0.1813239350401384,
          0.1709827683351371,
          0.20771855376294213,
          0.20954388124468007,
          0.1836985402790642,
          0.17980073581203765,
          0.22737758021378662,
          0.1996438791797249,
          0.20840727151071117,
          0.21224769757744646,
          0.21871259718841582,
          0.17387384739830106,
          0.19879811753891646,
          0.1965697215432056,
          0.19541990597708714,
          0.15168370333204445,
          0.143158899477004,
          0.19694464423875688,
          0.1860873553177046,
          0.16113488861069417,
          0.16341424895117487,
          0.1888327576907138,
          0.20253568915503992,
          0.2105985327222529,
          0.21811463161817177,
          0.17474458483734728,
          0.19642533690900194,
          0.23161633540705265,
          0.1875805079061693,
          0.2107853641170964,
          0.1744171875789325,
          0.21678878382014188,
          0.18830344452629122,
          0.2048087902405358,
          0.20635046971117268,
          0.21073069906371347,
          0.20960502305502343,
          0.19279958370636915,
          0.19429959320789594,
          0.19441752452398833,
          0.12103249890512813,
          0.21351876576144296,
          0.25381407500986697,
          0.17160732272013582,
          0.16062550589000132,
          0.1930735942276192,
          0.24408918587325662,
          0.21393037222980407,
          0.17656811029240121,
          0.2100094222119866,
          0.22173793299487363,
          0.22289478684115743,
          0.19161399084300765,
          0.2311047220870115,
          0.2526182681110382,
          0.2701485315839482,
          0.2058226521574469,
          0.19901335801012568,
          0.16478019400165048,
          0.19552773903341605,
          0.1862109302455565,
          0.19417121610673335,
          0.1478116579963954,
          0.19068684982514966,
          0.21124074311555738,
          0.23509467111968996,
          0.2078993005841382,
          0.18679155906944775,
          0.17396341197792045,
          0.16312787292446376,
          0.1674511752813953,
          0.1513874902959728,
          0.23809047490403484,
          0.18969997183103635,
          0.1903461304988202,
          0.20164137395662152,
          0.2168172427913382,
          0.16136232034353873,
          0.2031517249615163,
          0.1807930642957929,
          0.1995640545185135,
          0.14030312812195386,
          0.2082263896153993,
          0.1889976672053126,
          0.22339619689490964,
          0.1676238543405796,
          0.1643300033257222,
          0.19867206326011314,
          0.20088751983430853,
          0.23712353833212876,
          0.16120106435683668,
          0.19618902475697703,
          0.1958118230509123,
          0.21714165869236643,
          0.21784313384664225,
          0.18860093827513183,
          0.2181401729107593,
          0.1743872812191919,
          0.17148093250358776,
          0.23382163852308807,
          0.14968586829620983,
          0.21064186573206467,
          0.18020058567563918,
          0.22322390374913897,
          0.2280085339645755,
          0.2019886579203676,
          0.14637058298482655,
          0.16251009627220286,
          0.21155425700209246,
          0.17084083283381235,
          0.17757115635582277,
          0.2072970831279141,
          0.20043694222380487,
          0.21026034484891243,
          0.20916717032769977,
          0.2016202482393365,
          0.2335082595780018,
          0.19733765762039576,
          0.18518352166438115,
          0.20242659121414985,
          0.1663375373864146,
          0.20980210393959461,
          0.22375437344235644,
          0.19135457086055513,
          0.17054018838427268,
          0.14354163228099068,
          0.21635995181320739,
          0.1602956141462958,
          0.16835442816421148,
          0.16578875157402945,
          0.1775681173855789,
          0.25227003973680723,
          0.19515446512043583,
          0.19400329692585286,
          0.1986827134845623,
          0.14201803321510004,
          0.2158066551159859,
          0.21312161422719236,
          0.22992455296893197,
          0.15637692955114593,
          0.20025978761855823,
          0.19869116331872047,
          0.2027922959656659,
          0.19003917833465755,
          0.1212781681849638,
          0.25196118582760535,
          0.23955019094441968,
          0.18330920913110135,
          0.203547642841675,
          0.1575705823084915,
          0.19771967312165886,
          0.2209112573160978,
          0.176610548239763,
          0.1833108685112844,
          0.2574139090749808,
          0.23660955916359425,
          0.21941468774795406,
          0.18784219828260193,
          0.1353808927329472,
          0.1920816099549228,
          0.25151423486993485,
          0.2079621468952763,
          0.18959394305235838,
          0.1852968533192662,
          0.21684591456084462,
          0.19852268556272645,
          0.19134201970545583,
          0.23912902010683834,
          0.13131712229193324,
          0.15883434472378227,
          0.16612989199928527,
          0.1992756713431267,
          0.221536387787706,
          0.13176367576140077,
          0.20289688083096788,
          0.22346110309102782,
          0.20481215716246315,
          0.19734219312329965,
          0.18851374444443228,
          0.19451154292929207,
          0.20280360588398313,
          0.2344022850158036,
          0.18354967017618784,
          0.2011216411372249,
          0.17532867716615722,
          0.18125948039499512,
          0.23027569052344046,
          0.21990102902919342,
          0.19567234169845626,
          0.20282287624216302,
          0.18178957421211386,
          0.21890707276474644,
          0.16542653180178746,
          0.1333288941226622,
          0.25060631324247,
          0.21655382910639528,
          0.19199492694010387,
          0.22107957367155903,
          0.21336180270768423,
          0.22038945305112748,
          0.19885710771189494,
          0.18077827360183965,
          0.24138210349483732,
          0.21948019835311267,
          0.1858947372056262,
          0.19984967047453098,
          0.21020407080003845,
          0.2447934654883656,
          0.24807537516515837,
          0.18292432038429488,
          0.17703034969628195,
          0.1910596035862213,
          0.18483956860985284,
          0.19031006099584244,
          0.22891622976452186,
          0.21525235916963606,
          0.1836427716341135,
          0.21122025515648632,
          0.2489728239879441,
          0.1988482998488532,
          0.2064867382472392,
          0.18677618709475446,
          0.18969792704482125,
          0.17227027678536833,
          0.18983460688961964,
          0.18829230337607777,
          0.20259902182396017,
          0.25405632334577194,
          0.2154651030847945,
          0.2151777467679513,
          0.15338580307584096,
          0.2114456137856201,
          0.22634799330727004,
          0.23200240442311948,
          0.2344703606425718,
          0.2085279591336408,
          0.1820292494740199,
          0.2242948963992064,
          0.1890262206255236,
          0.20108984582666253,
          0.1752477624743637,
          0.1886838028440738,
          0.1605364596106643,
          0.22441193989481154,
          0.2548069665454839,
          0.17000959279310177,
          0.14741572871857295,
          0.17925471246754104,
          0.15341504930838826,
          0.17891658566605703,
          0.1666834986439936,
          0.19857184004817524,
          0.19906213951257923,
          0.24946851060005762,
          0.2026696498586266,
          0.2525230981531686,
          0.2007978877176495,
          0.22593160091386272,
          0.20047126503923518,
          0.19840691740406757,
          0.202610277143716,
          0.18951974430409232,
          0.21995270963283706,
          0.1968322597667589,
          0.1607142373840064,
          0.18996178959245408,
          0.21468330434777896,
          0.1846805679027032,
          0.1801825178658011,
          0.19968934275236738,
          0.15897191324035748,
          0.20032824156509507,
          0.2177815995904196,
          0.20150802149613214,
          0.22282298909320705,
          0.2464964678416989,
          0.1521735990609376,
          0.18082296370857215,
          0.19784689986274,
          0.15894498913420882,
          0.2004573584913151,
          0.21115342684397498,
          0.1658235228479033,
          0.1709364752259142,
          0.19788426300697562,
          0.20357591552341978,
          0.22746207422213738,
          0.16534794318254423,
          0.22633559897580194,
          0.1546804651532374,
          0.1905431218535984,
          0.16946047964178795,
          0.20001062416976612,
          0.17879252438659252,
          0.21899974681153397,
          0.22747375057710478,
          0.18404300150728584,
          0.13880994800047142,
          0.1636184796410243,
          0.2322303592905838,
          0.1808940980150421,
          0.18706533029402533,
          0.19134493219160484,
          0.2019663320885646,
          0.17904181380169928,
          0.22913399738926796,
          0.17901476476634678,
          0.20685211230703787,
          0.21987394488129802,
          0.1868721479117211,
          0.19849854197064348,
          0.16233159681495038,
          0.2363761615121761,
          0.17465918543036232,
          0.1711284126778275,
          0.16547141346019748,
          0.23120744627878823,
          0.1702579924439585,
          0.2108628399413595,
          0.1922748550844702,
          0.18771353165950816,
          0.16970879424165966,
          0.212301168581639,
          0.19157050151758215,
          0.1982965552081726,
          0.20608746194886132,
          0.2309367293884597,
          0.16756996965812287,
          0.2531568065952813,
          0.1845193784286199,
          0.17816421159070733,
          0.19089272924818687,
          0.2062779063461759,
          0.20244700884465666,
          0.12433291804722299,
          0.15532657120874338,
          0.22019925037801905,
          0.1761417332941162,
          0.22151924154003597,
          0.13833195622472746,
          0.18779875804512372,
          0.22387512843882743,
          0.13456816887673512,
          0.16120820141674927,
          0.18659271416784382,
          0.16308633290594443,
          0.20681786868122914,
          0.1972132173252979,
          0.21573146327371112,
          0.16267543408887392,
          0.1980213327688749,
          0.22924748052336874,
          0.22064113358204204,
          0.2315333665553477,
          0.2232467709559595,
          0.204669281632943,
          0.16007472951740387,
          0.17541248742804746,
          0.21178878578343666,
          0.20470641239167886,
          0.18144772690417388,
          0.2539509226334819,
          0.11798903781192087,
          0.17292896894608228,
          0.17769313810942447,
          0.21366195262300072,
          0.2133787750374165,
          0.19375522150313312,
          0.23842088950648982,
          0.20703453446400316,
          0.2010886240867052,
          0.20896287779877543,
          0.17705182617701778,
          0.17711481800159545,
          0.2027311207055576,
          0.18342863894680006,
          0.23628868987428242,
          0.18305357657456423,
          0.226341964968138,
          0.1806959876398751,
          0.22340087195361674,
          0.20546564795440683,
          0.2058361985883594,
          0.22309657197202035,
          0.18732069581417873,
          0.13907753104242204,
          0.1658889627837798,
          0.20346632204143525,
          0.21150728785045209,
          0.15832149609749113,
          0.14879673644269484,
          0.15789355993928125,
          0.1648602349198214,
          0.15524964503896252,
          0.21441508556787148,
          0.22742936688745138,
          0.17411526753878365,
          0.2073216012278368,
          0.1822486851221523,
          0.2208407306049704,
          0.23579367338866655,
          0.18210626169718724,
          0.20462530675292695,
          0.1562441300083872,
          0.18007146192637152,
          0.1849034860481516,
          0.22313270541169608,
          0.24168232612741972,
          0.23602349316833474,
          0.16813850341025638,
          0.2404493672167026,
          0.206213243885505,
          0.20072826264344948,
          0.2161844946969313,
          0.21371088147803435,
          0.2485171690955067,
          0.16768679273017276,
          0.21204604790650905,
          0.20038649204086179,
          0.19129427143227482,
          0.2198790356367239,
          0.1806900316709316,
          0.19410680324339966,
          0.17815701124034183,
          0.1875514931263318,
          0.1860662066151946,
          0.2035102447914526,
          0.23093325828591257,
          0.19721586218070003,
          0.168372443019143,
          0.17783928848661792,
          0.1954565357958889,
          0.19382373031003228,
          0.21019189440598693,
          0.20803021456158416,
          0.18116562102697695,
          0.15726976146911661,
          0.18978290065845088,
          0.17475248034693797,
          0.20916599997249438,
          0.16000918612793466,
          0.16500424443735667,
          0.17711287107872226,
          0.18591261280109553,
          0.21580351209244408,
          0.15196677649866702,
          0.18250323229039092,
          0.18506193359159032,
          0.19672825091968743,
          0.1610865091215129,
          0.18646092108421455,
          0.21029718944601825,
          0.22602893414833364,
          0.22313864219145801,
          0.14033734589884245,
          0.22702226200552195,
          0.1909938865176519,
          0.1921397737310591,
          0.2113058453758253,
          0.21424851863287972,
          0.15382919593943972,
          0.15642012019390994,
          0.22327397448656056,
          0.2092807320735887,
          0.19567342938822968,
          0.19793794799913877,
          0.15849912956660928,
          0.18267808372966488,
          0.21430498233534345,
          0.20309527336871103,
          0.25429185006575794,
          0.23203266600451838,
          0.19291025156153263,
          0.18342317603305688,
          0.18275264294876775,
          0.2017289935000082,
          0.21819613444043975,
          0.18507612632193082,
          0.22343998948153018,
          0.242726863750541,
          0.2562059360086779,
          0.1797132785837434,
          0.18299419446685133,
          0.2231087122342929,
          0.2162121484335579,
          0.22826659249546133,
          0.23154240276578514,
          0.204327915838166,
          0.1831142489782785,
          0.18746499541053088,
          0.17541173002059082,
          0.21134827930076425,
          0.1864720832020481,
          0.18337373275674107,
          0.19235570967135004,
          0.18305784149172985,
          0.15918146306690956,
          0.2270086103089126,
          0.22666387341417213,
          0.22121471057206382,
          0.19616031903280529,
          0.2162878409194141,
          0.1758266578133078,
          0.19020192294250862,
          0.2013192463026866,
          0.20676067500179648,
          0.2371038514792529,
          0.23090286721496442,
          0.19253874932651396,
          0.18160875752073163,
          0.18658871514540318,
          0.22609068320715858,
          0.16261145651988887,
          0.20001688341709578,
          0.16370310513198558,
          0.22053593127248247,
          0.2466774899749181,
          0.1996303201662078,
          0.22331946284659146,
          0.19572259605072562,
          0.21496906326474177,
          0.1795914021703354,
          0.22524487330984352,
          0.18476340606133204,
          0.1909989746810194,
          0.15595478434790278,
          0.17821631927184886,
          0.19448722285895548,
          0.16976654211606207,
          0.1539290056453661,
          0.23002733701304526,
          0.16161681067498423,
          0.2036893970484897,
          0.18855772878864188,
          0.15001629602130662,
          0.1551766327263478,
          0.1922991339940339,
          0.1873535513147186,
          0.21876147234723872,
          0.1761732453873743,
          0.19335875336259675,
          0.1973999140894289,
          0.17355879836982652,
          0.24152683039555792,
          0.16448622325947784,
          0.17274025382176345,
          0.20456669150136683,
          0.22617721910195004,
          0.1820738536558922,
          0.15059368981301394,
          0.21213389115054446,
          0.16917293689879756,
          0.22916500062609735,
          0.18154589444920202,
          0.22249876680640918,
          0.1549623756551364,
          0.19122728260150182,
          0.22855946892362367,
          0.2195414079901654,
          0.1558040350559375,
          0.19109631489562318,
          0.2089180485175379,
          0.20541241655648235,
          0.2194590408233353,
          0.22953385027143244,
          0.12722600514659155,
          0.21940180612100066,
          0.20908750318556849,
          0.1636106609503218,
          0.18009356208745836,
          0.18198977417700432,
          0.18921417345191555,
          0.18176773894661663,
          0.17840437346768323,
          0.15292727744995796,
          0.24197126194683471,
          0.19686299846926503,
          0.20794033947342241,
          0.1652896315425324,
          0.2429947580350711,
          0.23133523716626894,
          0.21219206679136154,
          0.23515310455678914,
          0.24693702225534458,
          0.192579122342511,
          0.2313216225261764,
          0.17974436774695055,
          0.21219962899178774,
          0.2276159732459532,
          0.22051629093782235,
          0.19147956131578847,
          0.21495551929758444,
          0.16900215988085568,
          0.20759474117480917,
          0.20343583239011642,
          0.2480697095681405,
          0.17463503691144683,
          0.17065620703787737,
          0.18968337835107796,
          0.1790746413014366,
          0.1767276852689096,
          0.1626041757588769,
          0.180456705970835,
          0.23406151685934287,
          0.16068126737363994,
          0.16470965555662737,
          0.21524443765657988,
          0.187606661262702,
          0.2301503787368936,
          0.18419215837439357,
          0.1527621452181862,
          0.2201936568894803,
          0.22443278396661562,
          0.18496396113988192,
          0.17293934805448155,
          0.19332838376688657,
          0.18530478804398107,
          0.1761535395521549,
          0.18657687289283822,
          0.1747652882060753,
          0.21018986082721594,
          0.15428431387427455,
          0.21491330121826996,
          0.20777937271323116,
          0.23552663060232087,
          0.24252374575616714,
          0.2552092230182137,
          0.1807098006198519,
          0.21136295521287005,
          0.21023727684525906,
          0.19247025767102063,
          0.2096376350660243,
          0.19001762166464445,
          0.22817234713371343,
          0.19333046385265593,
          0.14701890816808125,
          0.09991803085064063,
          0.22545525828654284,
          0.1818495485402796,
          0.19200711907428594,
          0.18282024689436924,
          0.19718886107286168,
          0.20672667121105354,
          0.14589596268653643,
          0.18942550712802303,
          0.20767907858421922,
          0.2165776679610164,
          0.19139579899365564,
          0.2167733417964814,
          0.19219212955096984,
          0.16124355198771168,
          0.14151074341306422,
          0.19816277838952578,
          0.14106995682480902,
          0.19095594998832516,
          0.21262611517821337,
          0.22740393384566254,
          0.22506780919638472,
          0.12933715608645568,
          0.17386893605149137,
          0.2112173580241817,
          0.20420508394725745,
          0.1812033926230126,
          0.16706742550746906,
          0.23202231864980696,
          0.21154710420900252,
          0.23249297898712412,
          0.23618726027778078,
          0.20454877267734492,
          0.18472059245533462,
          0.18013582587218677,
          0.20618482043198533,
          0.2310724333186059,
          0.17941377549667875,
          0.18303799846823082,
          0.20020520208882467,
          0.16806517782090838,
          0.18085683664559551,
          0.22266930117357725,
          0.17344845542241777,
          0.24556691551402957,
          0.1658474071053994,
          0.21678193843147198,
          0.22246215026059782,
          0.1849026663751594,
          0.15794422790734777,
          0.2185320972515628,
          0.18235907197395337,
          0.20973651853756847,
          0.2135725549166927,
          0.16745207743974685,
          0.17470608904236437,
          0.1785850157988437,
          0.20793707576079426,
          0.21245425926547626,
          0.1682620141058062,
          0.20996259139554624,
          0.19809459244742317,
          0.16629878091645298,
          0.1736063669907875,
          0.18809389469953258,
          0.17723327472221118,
          0.2177841403162784,
          0.2121214602777299,
          0.16635443566214608,
          0.15770054426813346,
          0.20020229911989787,
          0.2074686809848319,
          0.1488749022898492,
          0.17987312313615794,
          0.17574646790573584,
          0.25599948245538373,
          0.1967757587970528,
          0.18430104973057662,
          0.20286482288896426,
          0.24838313877321452,
          0.16527686057984364,
          0.20977890884996697,
          0.1996748288598977,
          0.14707368379139327,
          0.21572639584143838,
          0.19438351111219537,
          0.14318190289430108,
          0.20928109363687605,
          0.2562567636090791,
          0.19693236667611724,
          0.19018617737106946,
          0.17955495414131495,
          0.19832609317183744,
          0.19424774880265352,
          0.15822821024513103,
          0.20141763605390617,
          0.18538338435617768,
          0.17850976219074172,
          0.17056606145415748,
          0.19259006490719938,
          0.1821302014800265,
          0.23245616533953567,
          0.2132822593334798,
          0.271255245592543,
          0.17517870590974466,
          0.21719090659784313,
          0.24493331522503975,
          0.20254519179658695,
          0.18974022263555365,
          0.24398176337651864,
          0.21538891559987294,
          0.1631309976836184,
          0.19993630444089155,
          0.18998247898822812,
          0.19438836013619795,
          0.2112870790643246,
          0.23788766471490502,
          0.2351413203845773,
          0.2114374934975967,
          0.18838970502462912,
          0.16498727181680078,
          0.19381182297547092,
          0.14553265861771722,
          0.1591338800506836,
          0.21634439965721047,
          0.2472897906291375,
          0.24665786194338082,
          0.15194754368774716,
          0.22462757539754036,
          0.20653462215368731,
          0.15671436967488866,
          0.21028207959280612,
          0.21140431279375527,
          0.18747985437068904,
          0.1719596245836965,
          0.13421335338775364,
          0.21664950255835283,
          0.19344423100394476,
          0.15514165132870653,
          0.18051782500101432,
          0.15643795424523183,
          0.2268039106218808,
          0.26994398799297503,
          0.19358656948510886,
          0.21067959244549628,
          0.22111751461934917,
          0.17297467645877448,
          0.19674852603572127,
          0.15520238350291668,
          0.17362221885713244,
          0.1934596397398189,
          0.18167618893760765,
          0.17226697160958923,
          0.2223119695409799,
          0.2107277191672362,
          0.17472842477338088,
          0.24000669928751572,
          0.13244086622705614,
          0.1736158028151822,
          0.19609493142387344,
          0.20755491354220254,
          0.18246635056381438,
          0.22640544958060943,
          0.2091947483776002,
          0.15282576153059854,
          0.1257351786086455,
          0.23309727689040993,
          0.2127928461381076,
          0.22109367734406715,
          0.18269481462187095,
          0.21192766221796908,
          0.1890415421399387,
          0.19070148452665703,
          0.22233128564841112,
          0.1984974212790656,
          0.17005952762685053,
          0.20344050977064967,
          0.1997904190594594,
          0.2027343077351566,
          0.17243917688723154,
          0.20807542272684051,
          0.16506636973725314,
          0.2209757121057605,
          0.18010527880671998,
          0.2036083588797632,
          0.21092866712367958,
          0.2325951811824143,
          0.2321039493154802,
          0.20511193078497134,
          0.14510664312158839,
          0.22749704802838633,
          0.22751743199025612,
          0.1877503878875106,
          0.2302098763677127,
          0.09715936692973824,
          0.15015404476103228,
          0.21425539823676976,
          0.17375479224366958,
          0.19476537857954462,
          0.22517398053040566,
          0.1865103881303669,
          0.20014417569091164,
          0.18774848009744,
          0.17913244469429754,
          0.21657155654437574,
          0.23773974485320173,
          0.18589379012277912,
          0.18146501352638766,
          0.1766113717423843,
          0.1985206337010179,
          0.16299786934689386,
          0.1869609913108374,
          0.22587313693254815,
          0.18251397720282017,
          0.207213387075218,
          0.1689287124347629,
          0.2099565256933619,
          0.25189326722171257,
          0.19621013450919494,
          0.14961124518424992,
          0.15766621053741212,
          0.1953713722380591,
          0.17364085914521993,
          0.19804307133508783,
          0.16813883842239352,
          0.21019476744867735,
          0.19762579012952,
          0.21570964569097043,
          0.17161144118721616,
          0.20826741362662587,
          0.19676284551039316,
          0.20603691803473173,
          0.1794028312607966,
          0.16733923271543413,
          0.20470561924013006,
          0.19557635925126454,
          0.1823083570392485,
          0.18967766823911422,
          0.16785371550296374,
          0.18883730453402067,
          0.2153320416282431,
          0.1974609963099314,
          0.1516024690396546,
          0.17091171493575474,
          0.22105947189150757,
          0.20661629011302704,
          0.15944308325759915,
          0.17213946361241875,
          0.1726662296590281,
          0.17148259936835789,
          0.18220312322067939,
          0.21877845302323412,
          0.23688943193184211,
          0.21431580521066396,
          0.1639281616829096,
          0.18282152569614954,
          0.19253966553603385,
          0.20345198630543163,
          0.2147634061080473,
          0.202073788350156,
          0.18092003599320391,
          0.2508395759525989,
          0.15442896327876518,
          0.1955315683554585,
          0.23045638406598123,
          0.17273803968595655,
          0.1978133217771746,
          0.19925611072195984,
          0.2009999837953304,
          0.20503340148998064,
          0.21268515741445257,
          0.16794621657711073,
          0.1681951062348388,
          0.20476032665714058,
          0.18550545580964944,
          0.21408010057174146,
          0.232597194551187,
          0.19717078250718756,
          0.22067605071167612,
          0.21449519871037703,
          0.1892499604937401,
          0.17130890658281384,
          0.2134564583583942,
          0.14929876050161345,
          0.17950578832136976,
          0.24704077869140484,
          0.1586763037374372,
          0.18485127226127543,
          0.23840827029703646,
          0.1929785965421437,
          0.16554372423623726,
          0.18932204959871504,
          0.14618473458393236,
          0.18841694111966892,
          0.22122597616078737,
          0.1506903048954527,
          0.18931327212534885,
          0.18229930529565208,
          0.20607548368657153,
          0.18702689091378674,
          0.15033747059577077,
          0.21660927572448982,
          0.19640711768346958,
          0.21894070078240088,
          0.1943244101253379,
          0.20063491856922155,
          0.1848470496428665,
          0.20815100907658624,
          0.19961310950781358,
          0.19830548123603156,
          0.19803088434307572,
          0.22133076813852878,
          0.24268709837139626,
          0.19898349546309735,
          0.22103288321729422,
          0.21646008928256086,
          0.23338153524701025,
          0.24323408352291667,
          0.18152435566528233,
          0.230869745114382,
          0.18559528222704447,
          0.1698424071820055,
          0.17147132997587503,
          0.21018759679273566,
          0.1963673786267694,
          0.1885826089348614,
          0.2155658059845166,
          0.1546548410631695,
          0.21241163439679406,
          0.22940787571349264,
          0.20715831571750043,
          0.16727283733943601,
          0.21945227918213223,
          0.23921671046054588,
          0.2041520550865369,
          0.18650625082897176,
          0.20402015037012078,
          0.22459330635584543,
          0.21807753984696135,
          0.20376274366448166,
          0.23232557788782668,
          0.18914747986968372,
          0.19079517342447663,
          0.21368921359563173,
          0.13767197903265102,
          0.21293167911892724,
          0.17774225377735692,
          0.21537546023951007,
          0.2152115089496987,
          0.20513389946117938,
          0.21212153992976696,
          0.17669072836491043,
          0.15174589650068035,
          0.2300120281753322,
          0.15544993335003532,
          0.18105827886212603,
          0.2270993206076046,
          0.185437180471078,
          0.20395177444549717,
          0.20464874047987672,
          0.2280681309943978,
          0.22742508307083917,
          0.1561670787988977,
          0.21221832042146657,
          0.2008692373494551,
          0.2193783800896256,
          0.2355468129721526,
          0.20043904385129627,
          0.19011476296933116,
          0.20608631233150196,
          0.1450793716164537,
          0.20800507650438863,
          0.2313866297244409,
          0.19371243900561952,
          0.19720534548798432,
          0.17436608770770462,
          0.1728524606588603,
          0.16915268074644155,
          0.21174383837286734,
          0.19620535692032803,
          0.20423240039299673,
          0.2119042991271826,
          0.22948466871011305,
          0.18862058809792256,
          0.17191517541945936,
          0.20787841835136148,
          0.20098566677254187,
          0.17791934992855468,
          0.17374684915195227,
          0.16162862160019828,
          0.21099810413869735,
          0.18432682396400743,
          0.2472418076878833,
          0.14364196972143042,
          0.20689325768543324,
          0.13526443759855036,
          0.18369276358154174,
          0.20493805765145087,
          0.1787378129731853,
          0.12965532144477035,
          0.16454107980902363,
          0.2115832340709279,
          0.14282076706503996,
          0.17787569272210565,
          0.21333335892650132,
          0.17616735176493464,
          0.18996755820789507,
          0.18521856948932133,
          0.2010361639347424,
          0.22215535110265527,
          0.18824870652997633,
          0.17563398302015215,
          0.21623682761349627,
          0.21513505224928936,
          0.17647078943477573,
          0.1984060427867373,
          0.20183017622576852,
          0.1810174760241781,
          0.13518167087071706,
          0.23849888559318794,
          0.16185465621978903,
          0.2142536332063535,
          0.19430433917886714,
          0.18066563276758152,
          0.22053969532087433,
          0.20325568257206655,
          0.17540657675273755,
          0.1936111345806471,
          0.22049459829194543,
          0.2432192653769225,
          0.19004021238146782,
          0.20669844793773412,
          0.17127958860071735,
          0.25007573242183756,
          0.22332304596439734,
          0.16779230916936994,
          0.18092536331502826,
          0.1405838670073486,
          0.21207099910886695,
          0.18158510681280288,
          0.1979827866788312,
          0.1785572468603417,
          0.22224553850074835,
          0.16936848327804463,
          0.21188271523151783,
          0.22403423219153298,
          0.13086912741783635,
          0.15844886002186923,
          0.19760945081316544,
          0.22889139135687406,
          0.1326615876369038,
          0.19317657323795787,
          0.21742972899106575,
          0.17629900409181115,
          0.14669685307442928,
          0.1780247707135316,
          0.17853580891399148,
          0.17625783705994852,
          0.1323537860225707,
          0.1768899282378643,
          0.21478012499571736,
          0.136983394684861,
          0.1754647395399854,
          0.19689484648282038,
          0.1400434600224163,
          0.20061635007211703,
          0.21194596853235098,
          0.20570909247624788,
          0.18635783459320682,
          0.21631528156409352,
          0.21898100838388396,
          0.14317769229519037,
          0.22575019685710546,
          0.2090185050683038,
          0.2336507299641177,
          0.2439126074615029,
          0.18504334502956513,
          0.23225388603822875,
          0.18114984356452107,
          0.2233789125483367,
          0.19820044386684849,
          0.19510525028578082,
          0.21693359350227243,
          0.24846616966402008,
          0.23126902594895243,
          0.18195910539902685,
          0.18641209110892465,
          0.19559187319563598,
          0.20538661942007497,
          0.21168510858220588,
          0.19874077807544957,
          0.25567590550817726,
          0.21251776047432064,
          0.21011255820342736,
          0.19216556870187304,
          0.18501913437405107,
          0.16889805087175763,
          0.16918915311526844,
          0.17146961677483236,
          0.16215063206130198,
          0.2012484372110444,
          0.16691354999549665,
          0.17440350881591044,
          0.20594300097250523,
          0.19984283441081452,
          0.18972769473772852,
          0.1936010782937834,
          0.15104862593630047,
          0.24740755023774302,
          0.2141521906267294,
          0.2349184600816736,
          0.22900557741215138,
          0.22626708671888154,
          0.23427521243787625,
          0.15658792450726264,
          0.13710808603078237,
          0.18634697304837367,
          0.2520221048352321,
          0.21967527089042127,
          0.19052580353507456,
          0.17486269354061276,
          0.18621901304810054,
          0.1776695534809212,
          0.20517536412575965,
          0.2089583223255139,
          0.2213784096435648,
          0.21094568773702305,
          0.2185187263223177,
          0.2148183806932235,
          0.17548421951343024,
          0.1854767130685688,
          0.18552445292200578,
          0.19922982613560739,
          0.12806580769964668,
          0.17922002327815392,
          0.19341085285640286,
          0.22423721097311944,
          0.2099904516470506,
          0.17910086591732632,
          0.1342546061436941,
          0.1862354837714087,
          0.2084841123616955,
          0.1640754176257564,
          0.20014563070344588,
          0.18936519209196767,
          0.1555523633434815,
          0.1889185329810929,
          0.17925526495746602,
          0.188637546235904,
          0.1916207393819589,
          0.21413346636580924,
          0.1431963490775583,
          0.21403914530264875,
          0.14523560207979352,
          0.16829628939819527,
          0.1911220535704445,
          0.1828212008107524,
          0.18723335356595142,
          0.19923573833632532,
          0.19201908522658878,
          0.19045549123226735,
          0.15648948462096618,
          0.17868853257115075,
          0.20076617262857996,
          0.18014161542107862,
          0.21647516408785472,
          0.18160171278161094,
          0.20058857989847653,
          0.1789864633446861,
          0.19795121960044199,
          0.208996209393256,
          0.1774207269879573,
          0.16411823102447726,
          0.16703281486582836,
          0.2325492343131357,
          0.17723874842760537,
          0.24832310959044282,
          0.17609515517702062,
          0.1908317145527309,
          0.2004226996952809,
          0.16203994600552787,
          0.1603896030666145,
          0.21364488041213245,
          0.20551967186545333,
          0.16639831268297964,
          0.26098968718697313,
          0.1733564323223187,
          0.1660973085422625,
          0.18287110888569244,
          0.16035274983036568,
          0.21407715118929901,
          0.21653898486148343,
          0.18169361577844503,
          0.18550629906996186,
          0.1547965133808782,
          0.19984913635790688,
          0.17857072312227246,
          0.17704831931378417,
          0.16658307783991916,
          0.2119568046702866,
          0.17845281903447505,
          0.19751255715160118,
          0.19209149150982086,
          0.20020396008869873,
          0.17399320541850513,
          0.23872018819042481,
          0.1818828038803195,
          0.187657126573184,
          0.20543934343647668,
          0.22168049481469523,
          0.22568392718885888,
          0.1981369905136552,
          0.24443141603201726,
          0.1939748609555366,
          0.20351981603020572,
          0.21094417366048596,
          0.21271798214973212,
          0.16007492612519778,
          0.1869578032059144,
          0.16789687303083164,
          0.16984610302141356,
          0.2012741064283844,
          0.20874133726313648,
          0.2232336734513038,
          0.16890816051120355,
          0.20773052277394138,
          0.19809151644045345,
          0.20282060042764735,
          0.24408166834478584,
          0.1870763682763966,
          0.18387774754418829,
          0.13413958112579416,
          0.24906167944697635,
          0.2141798618280482,
          0.192845995421087,
          0.20838108104302033,
          0.22311814238871666,
          0.17507654629869113,
          0.1897908906449484,
          0.23277846239720787,
          0.1760124340304873,
          0.21682938330866752,
          0.17171007236566396,
          0.2444919268590551,
          0.2273095939380595,
          0.18475655112790249,
          0.16535904335556506,
          0.19781430860568786,
          0.20942920443812355,
          0.1510274845716778,
          0.20850409230968572,
          0.15047049604222149,
          0.16218310561428373,
          0.18098354828608307,
          0.1690447536404283,
          0.21600372185238953,
          0.2174435555348137,
          0.22300048839014625,
          0.1880235731313976,
          0.13897313310698386,
          0.23502446016537656,
          0.23295362977489936,
          0.17993964842556917,
          0.19853371879664194,
          0.19392857024349025,
          0.20128953696524512,
          0.15339088814747948,
          0.19690309100510564,
          0.22056840883534162,
          0.1832720645455451,
          0.16871389187223365,
          0.19794800098812754,
          0.17471714284407439,
          0.20186335325053992,
          0.15886755724258628,
          0.17531921484119073,
          0.17960891576481522,
          0.20110802862875188,
          0.12441221962202983,
          0.19052492651786576,
          0.21800949216116397,
          0.17792005449276124,
          0.22135875733213123,
          0.16676131999502464,
          0.21925120406049792,
          0.1559166593825829,
          0.14525728744618685,
          0.18896739338439328,
          0.17622499416428156,
          0.19840009185930035,
          0.1755720533814626,
          0.19283406411010645,
          0.18652721893102386,
          0.18090313002215627,
          0.21145217668885843,
          0.207235817559308,
          0.16925550268614842,
          0.1991136402144399,
          0.1931422602732215,
          0.28052536040922843,
          0.15795674082647246,
          0.19603626290967813,
          0.18640110266793233,
          0.21867314943870847,
          0.22268567117343172,
          0.1663615431489945,
          0.17200527760935683,
          0.14891321758218995,
          0.19059607749461438,
          0.1572208574247297,
          0.15277283036505843,
          0.21361465270320515,
          0.1886619898926596,
          0.1991886846852821,
          0.2087809800143552,
          0.18307487094512914,
          0.18585880790441536,
          0.18498996847828061,
          0.17863006105393367,
          0.19380598652530617,
          0.20450201855161934,
          0.19400385984472693,
          0.19392272266946053,
          0.2074064118413227,
          0.2208801666660807,
          0.14514596963872828,
          0.15449982763972986,
          0.17026308992087277,
          0.15634281508932987,
          0.207672233655852,
          0.22024408105510104,
          0.18930505797692807,
          0.1721920293500226,
          0.1743256707605825,
          0.20469213717432272,
          0.19291598616585495,
          0.1418285731588673,
          0.1914032917140966,
          0.2003112187863584,
          0.19664923520158525,
          0.2091939626521297,
          0.20836413553823707,
          0.2399610560795687,
          0.15238598463994782,
          0.23488802089577618,
          0.15758156179643815,
          0.18196625776407513,
          0.1541931758148906,
          0.2515241916005361,
          0.22268002882990326,
          0.1918288466291596,
          0.21655666172124713,
          0.13584290485553843,
          0.17326986490375576,
          0.1524108117329257,
          0.15605130482761184,
          0.20293993793314197,
          0.19780395225897823,
          0.19748586492417156,
          0.20476021822938548,
          0.21554073881109045,
          0.20635898019293825,
          0.20581511488478754,
          0.20596567221007472,
          0.20669919640944534,
          0.22278684377658567,
          0.17605266753063975,
          0.2156367538652937,
          0.19415086414765229,
          0.19436984695782278,
          0.22297530544733687,
          0.1880572867862427,
          0.1673462632397239,
          0.22751911348031276,
          0.20385828529441583,
          0.21166316609535699,
          0.19266172810577686,
          0.18870937564796492,
          0.20581801380522222,
          0.25470001280118576,
          0.18187936268316365,
          0.22403509808677155,
          0.20443779202787418,
          0.19261134094937563,
          0.23769117296560296,
          0.17998536777258153,
          0.11914994885257486,
          0.1725791437615042,
          0.20931975132196143,
          0.20021333817294398,
          0.17517635711814644,
          0.2245853616622378,
          0.18116457181531487,
          0.23561743036599586,
          0.1732020594861015,
          0.1858496045528048,
          0.19679143265157215,
          0.18574037223866488,
          0.20778186917937025,
          0.19238967824416717,
          0.1840367833403401,
          0.19621930868057044,
          0.20794404420388785,
          0.14273754963202065,
          0.2058126658471041,
          0.13113173461691877,
          0.20804268008384183,
          0.220675270565199,
          0.21080934824696476,
          0.19530208775941207,
          0.2080350565658166,
          0.20700595712199873,
          0.16711663494431706,
          0.15622589949142204,
          0.22452070423233075,
          0.2342204920937462,
          0.19555603827853063,
          0.23042074253764538,
          0.19364569390412947,
          0.19382784567448288,
          0.193513765004743,
          0.1591279142863121,
          0.22546508268826965,
          0.17804176200049057,
          0.21776908493623642,
          0.1934644060723748,
          0.1853262337951771,
          0.1422704197517763,
          0.14630764024581192,
          0.2149903210607936,
          0.20969430882631507,
          0.22417188357802734,
          0.17846066426962345,
          0.17768206430910619,
          0.18117340762710746,
          0.2043351749557606,
          0.09151110499568485,
          0.12554282681988754,
          0.24417949350228368,
          0.21787248271658965,
          0.22398842897897586,
          0.18679910289449644,
          0.1947865897856669,
          0.19300887491189447,
          0.18305875407027353,
          0.226696127068359,
          0.18706809966298016,
          0.13350593857545537,
          0.19819726734130516,
          0.1635511148237819,
          0.21661837393774147,
          0.2175126525092134,
          0.2251339788517671,
          0.16262856581823731,
          0.176059170525047,
          0.1584406792967267,
          0.2125837822901205,
          0.19866366829089502,
          0.24001567378805488,
          0.17970976933860003,
          0.1803124520556347,
          0.1758279473130261,
          0.20108371411055828,
          0.19612419998342875,
          0.17065700620370353,
          0.21525011643970707,
          0.1993218006049095,
          0.2040621233970325,
          0.19434256512712542,
          0.21659813600298133,
          0.17754053768173483,
          0.21792202429051824,
          0.17320364561839097,
          0.14551127029716002,
          0.2147245225398554,
          0.16057949181640635,
          0.1921769670866292,
          0.17389426039705908,
          0.16849037017603583,
          0.20105901309955446,
          0.18722222365122504,
          0.20432805968486156,
          0.19521232512096703,
          0.17491578816285053,
          0.21212267496255055,
          0.23518310901188308,
          0.19096431656443955,
          0.14154692445179334,
          0.15666487896270445,
          0.16762451251732977,
          0.1910031342093186,
          0.19683182004038394,
          0.1542732719270341,
          0.21920866568881597,
          0.18504087730108384,
          0.1814612164437054,
          0.21436310334309036,
          0.18136054610547783,
          0.1946907005436578,
          0.20771582453002876,
          0.2428224474071876,
          0.1966869647792278,
          0.19038287169855625,
          0.20688694057784704,
          0.18823271423670146,
          0.1599226320155318,
          0.18761912818827634,
          0.22628375881762586,
          0.20350478811049927,
          0.14639608380922625,
          0.23487738939177338,
          0.1443347135819309,
          0.16899210432920536,
          0.21330048369296045,
          0.1897096413000377,
          0.197052401431383,
          0.21216604364160221,
          0.21122608004489982,
          0.16715053807860974,
          0.21824235372506268,
          0.24523292242595712,
          0.17590344534461336,
          0.18770404296831739,
          0.21141715453100418,
          0.21108425863428906,
          0.188546833682191,
          0.18234756198143032,
          0.27522251662533614,
          0.1983418224029947,
          0.19231813637260814,
          0.16471854836225078,
          0.22593902494021784,
          0.18497182031129608,
          0.22751959524837506,
          0.1904527281526962,
          0.2362339827578626,
          0.1696143387193711,
          0.1866016256524325,
          0.20590467326788667,
          0.2211093360794705,
          0.2080203264394654,
          0.1893458233266654,
          0.2010750733627509,
          0.18902974269682757,
          0.19764358932300752,
          0.22193716084557646,
          0.18168442755498387,
          0.17606805865306357,
          0.20261625396737726,
          0.16703609568060776,
          0.2164079599977435,
          0.16743314568449885,
          0.18437101840275394,
          0.187938020165475,
          0.17347909664177635,
          0.17576941663936949,
          0.23983040135877925,
          0.2208304961051037,
          0.2064532852952313,
          0.19417031132087584,
          0.21772309818800115,
          0.19672437789775243,
          0.22113219909443513,
          0.12647851921308992,
          0.18837717901969417,
          0.19972858607458666,
          0.190948305582705,
          0.2533591075417242,
          0.1969744513035229,
          0.21087465080515064,
          0.20000647299327215,
          0.20670027625299853,
          0.19198385421528624,
          0.2588837855184553,
          0.18965067083396372,
          0.19244511124285485,
          0.2270744748273933,
          0.20081204081383414,
          0.23705658793452578,
          0.21825264915810602,
          0.2238129579552536,
          0.2332579949314604,
          0.19482152963625063,
          0.17350912774460647,
          0.20305103323293439,
          0.192059288203936,
          0.21339630858729772,
          0.2179953227997171,
          0.2373088300320809,
          0.23165861574066562,
          0.21794114118746646,
          0.19155446109060797,
          0.20425860979191343,
          0.2400139873625117,
          0.20773385819920911,
          0.21148561051457337,
          0.21166572799597197,
          0.1797123270581774,
          0.16837765134681995,
          0.25540710354755103,
          0.22272367543081803,
          0.15604960846075405,
          0.17970514021821107,
          0.181100604515978,
          0.24264718016938014,
          0.18405633625340484,
          0.19835251893289518,
          0.10899199608541106,
          0.181096438346569,
          0.16264161166791047,
          0.2007723474376516,
          0.20671877226232044,
          0.18370843146946997,
          0.21722956059151746,
          0.20401937996681738,
          0.16429962393371858,
          0.2027964354916017,
          0.22851155540542528,
          0.1718239031278681,
          0.18458041757171753,
          0.19735828620569965,
          0.19230209318860605,
          0.14695495263038702,
          0.1624863479853686,
          0.18894970182803944,
          0.18760090858541176,
          0.2149887389083615,
          0.23415383174166088,
          0.1743198948343432,
          0.18712262781266562,
          0.19484126893728054,
          0.21220275130238095,
          0.1886725514407009,
          0.20487413144526737,
          0.16862207955098263,
          0.1863165479189196,
          0.25978680430597534,
          0.1896658709392748,
          0.20738710612187794,
          0.21735462728166474,
          0.16764291206589343,
          0.1766429131029212,
          0.19285552737110673,
          0.17049359120577137,
          0.16787771406599536,
          0.18548702054565405,
          0.22461406146689922,
          0.20664356911539333,
          0.20841715853319268,
          0.1834310193509429,
          0.13485556341024255,
          0.12100758554468018,
          0.20211175734379264,
          0.17699083078653757,
          0.20381725212771323,
          0.17833498563016065,
          0.22709052927630008,
          0.18959034731761978,
          0.2290424503855164,
          0.1916518363419845,
          0.21615887637828515,
          0.18239220561199823,
          0.20848895643597615,
          0.20032648083600404,
          0.18032325692624956,
          0.23420396799631063,
          0.22405723640725114,
          0.25457211793738477,
          0.19881816975881822,
          0.1683591965969802,
          0.21762942803850233,
          0.2133896768054363,
          0.2112191385515851,
          0.18762536196735413,
          0.18106634568456037,
          0.20453222823075445,
          0.246792158127956,
          0.187247447426557,
          0.20640153313162943,
          0.09841045508211159,
          0.18211861996055895,
          0.19901140803528897,
          0.2273020397402746,
          0.1642753748666065,
          0.23198175714925023,
          0.1660741689031587,
          0.15754999024352537,
          0.14030648529216017,
          0.19566338376145456,
          0.1649521950955317,
          0.18121998146385457,
          0.18990124668762234,
          0.21333376510831115,
          0.2251424237545787,
          0.23761661252469995,
          0.21972622736651012,
          0.22499416925812948,
          0.19466817990949004,
          0.14537274299893393,
          0.18478966403655517,
          0.14298722577929715,
          0.18956046837589596,
          0.21751227720822927,
          0.17566809403087907,
          0.1792383302623372,
          0.18134207837113306,
          0.16234277844287381,
          0.2208495450652102,
          0.16179214055709243,
          0.1743274130580379,
          0.250891463173467,
          0.15293247415245528,
          0.18018652899101903,
          0.19943113388983097,
          0.23660235252562536,
          0.20077211214161053,
          0.2077910931275764,
          0.22880026951528887,
          0.18502587098030646,
          0.17705613059051722,
          0.16324394288097258,
          0.17091263266673765,
          0.18282563292467424,
          0.19536042649131985,
          0.14828154529637383,
          0.18748127434291534,
          0.1740644796555282,
          0.16803736240101805,
          0.17871734086259541,
          0.21260263283640568,
          0.1907452556278652,
          0.16167824789701973,
          0.2001633393175933,
          0.185160495688146,
          0.19373488232677166,
          0.17647801368176314,
          0.19724531241130702,
          0.15258058434787705,
          0.21194577484125143,
          0.20291819891399,
          0.18483021018991455,
          0.19279987975984136,
          0.19223228307508744,
          0.22072634810083652,
          0.20404885526295224,
          0.19697025554743616,
          0.20823605545710938,
          0.25512825699189184,
          0.19252212860089585,
          0.19011811673866505,
          0.1913451728977567,
          0.1991777632480195,
          0.21579939089987682,
          0.20748129011485225,
          0.190177179274817,
          0.1547018310075167,
          0.18479851630119362,
          0.2190003363477883,
          0.19322182856644762,
          0.2228796821589966,
          0.12462883227160065,
          0.23091326023459746,
          0.20592936139068574,
          0.19840165830185716,
          0.20481932936842753,
          0.1782989778913709,
          0.1663816824943768,
          0.21368198837652053,
          0.1787715305554571,
          0.1663296215062706,
          0.20756147310251225,
          0.15183481418062933,
          0.2079598646778857,
          0.20861174555398673,
          0.23744292177997828,
          0.15549116032714236,
          0.19838338619740062,
          0.20613584140758892,
          0.1869242800414494,
          0.18393011695942113,
          0.2060584157769367,
          0.19182605380694945,
          0.20320361242873258,
          0.14209165279846242,
          0.1936507183209096,
          0.14538975446214616,
          0.17405582316525584,
          0.15969494618226654,
          0.1879781770565947,
          0.22102738954568757,
          0.24660071939767675,
          0.18740767896940505,
          0.2081209894730264,
          0.24538615582081852,
          0.2465649798500996,
          0.20335874656221997,
          0.18330161820877403,
          0.25878636882068223,
          0.1942362212111537,
          0.21351078976936166,
          0.20471593504502208,
          0.24440497803609992,
          0.21130838588400525,
          0.18096738250835476,
          0.16644737084104871,
          0.19731401590902167,
          0.18241366095894854,
          0.24478715991526315,
          0.19228649379990337,
          0.17894709760632824,
          0.15178174956135712,
          0.21314776635084978,
          0.14973783556702755,
          0.21476564893989114,
          0.1607885249431127,
          0.16362122914381622,
          0.20653370412958227,
          0.18696450093463224,
          0.15998996651760744,
          0.18330068269079408,
          0.23237502106159819,
          0.18341753579044778,
          0.19014605245576902,
          0.16069990600068745,
          0.24118693160458615,
          0.2206127711346065,
          0.20786306318493528,
          0.2268444905026492,
          0.20751781649382006,
          0.21039101585623038,
          0.20129756398102885,
          0.16350364380858368,
          0.2021336277384413,
          0.20427775295992617,
          0.20841416427552378,
          0.17602150932009297,
          0.1592516726084975,
          0.15691849524815812,
          0.16213418052675926,
          0.15921227504711036,
          0.18487108152693116,
          0.20574832393919135,
          0.17674315097577722,
          0.13559477303459241,
          0.18579869588432402,
          0.22892700569012256,
          0.1418426296917358,
          0.17034905243954257,
          0.21001802800935385,
          0.14651618356207913,
          0.21236897538721086,
          0.1941090909136881,
          0.215595388228662,
          0.21390292609289246,
          0.13632392991331063,
          0.21113661900491992,
          0.19685571253875683,
          0.1422514655481792,
          0.19486336156131925,
          0.2310607760611606,
          0.21020594373001839,
          0.2350505014902835,
          0.18966370700204807,
          0.12419450483281115,
          0.1701975587508694,
          0.20857151941924426,
          0.2367346667372979,
          0.17042054270543547,
          0.20581281950819497,
          0.221387086302415,
          0.1973669861487807,
          0.23395195988427955,
          0.2471450286374609,
          0.17010115048152805,
          0.20653588933422787,
          0.2079505270590035,
          0.2088794943707331,
          0.18987031052814765,
          0.1714081942962882,
          0.13945460280644875,
          0.19089145912240935,
          0.21122117789139133,
          0.20331839506118224,
          0.19179491663740383,
          0.24488192163552344,
          0.17774838321395908,
          0.21473623745707843,
          0.20968548988017477,
          0.1779032387166042,
          0.23303119384584198,
          0.2149771674322318,
          0.23032145681678864,
          0.19307512117251474,
          0.19443552821262253,
          0.21746072740229938,
          0.18037805607226431,
          0.19435253635176178,
          0.19286325103410895,
          0.20501219250131286,
          0.18221949782705613,
          0.16774042038662415,
          0.2330206924463974,
          0.15962747557297324,
          0.2188424005967852,
          0.21084911004285467,
          0.22377824434112642,
          0.20306497060364423,
          0.23875326465758023,
          0.17511923368981586,
          0.17401054589390394,
          0.20037392352815447,
          0.1978131688688891,
          0.17987674425270814,
          0.1854673437292453,
          0.20162602014336187,
          0.17554198782618802,
          0.22260766573879423,
          0.23892873768806824,
          0.1786983765174422,
          0.15724723026895604,
          0.19259645268326767,
          0.2122765423077198,
          0.22965058692541185,
          0.24624814004883738,
          0.23774713214229498,
          0.20958470574916963,
          0.18549102052784797,
          0.18017430206140855,
          0.19701564784598458,
          0.15101461038534422,
          0.21429698045618376,
          0.2087394785948616,
          0.18855690478275688,
          0.18354789093211693,
          0.2092105032727314,
          0.21260486954062383,
          0.23170973828017974,
          0.18270874953872263,
          0.17424317123804786,
          0.16183297986933481,
          0.21005590251819348,
          0.20657822400446732,
          0.21408088716285603,
          0.22864712210726404,
          0.20617237021184392,
          0.1929873354245146,
          0.22856116972671647,
          0.20994196152447395,
          0.20562103712842586,
          0.20610823921895235,
          0.18516044293205308,
          0.2146206854943304,
          0.2174278622328023,
          0.2369455943167019,
          0.17511269899652787,
          0.1888405409718922,
          0.21908511879562564,
          0.18771056439463524,
          0.21876056081905515,
          0.18464928369262293,
          0.19853117975250809,
          0.20528871368302914,
          0.18946766542012408,
          0.21464464482481602,
          0.19662488330337505,
          0.19956238487853714,
          0.18241572177148174,
          0.2046838119907337,
          0.16197567353604658,
          0.18395963819126604,
          0.18369123418173294,
          0.1808543347654852,
          0.2150950521902957,
          0.1349487274050367,
          0.18141658158346105,
          0.17167449286704878,
          0.18680176513165925,
          0.1712455147527274,
          0.193539836202411,
          0.19925389911971286,
          0.19301543001104204,
          0.16257387498466547,
          0.22493265000698906,
          0.16604701102736039,
          0.197029384777501,
          0.2293148178519018,
          0.20167509630240102,
          0.16678902645554858,
          0.14946663578034913,
          0.20342073098600794,
          0.15583922045656098,
          0.19773904056814087,
          0.24299735448649867,
          0.1804691100258756,
          0.2069331949154852,
          0.2215637383966777,
          0.176306604980325,
          0.16605665065367184,
          0.22779952311387214,
          0.22421029962892844,
          0.12460681838506894,
          0.1801771316168102,
          0.12702067091042982,
          0.18169003070639442,
          0.20882217671678127,
          0.18325412696931462,
          0.19874534876629804,
          0.2187081817510505,
          0.1811994302699873,
          0.18228088632963316,
          0.14402448487219763,
          0.22182082332804973,
          0.21282096336970974,
          0.17528266090434017,
          0.18097500781135842,
          0.16276945723632194,
          0.21602503797611977,
          0.12023424480174845,
          0.13695752545230366,
          0.20758883676082795,
          0.18515951136575934,
          0.1839675964094783,
          0.204858230223424,
          0.18840331775636643,
          0.17277393676594596,
          0.2344157211131126,
          0.2413680801405608,
          0.15126153708575732,
          0.12705873739618803,
          0.17451188121691424,
          0.24853395587585297,
          0.16561262449242758,
          0.17625987926240366,
          0.20508821357215765,
          0.1694635968998523,
          0.23369620733993388,
          0.20583766931643177,
          0.14130083629565654,
          0.20013229010670672,
          0.19422593580597874,
          0.1982932936244577,
          0.16461209251534614,
          0.18495676642789957,
          0.15532999258826605,
          0.13722912755440828,
          0.22451956506908496,
          0.19100689176248195,
          0.18323241163088563,
          0.21077692311774618,
          0.1683206230312989,
          0.18298257155805306,
          0.2629052099501997,
          0.1646141028253112,
          0.2492731804967306,
          0.2229278470061385,
          0.1800878727543903,
          0.19603556878949496,
          0.17377724633985206,
          0.16043503999607714,
          0.20115592028803755,
          0.21312156023149878,
          0.2133770101888776,
          0.2505668647446908,
          0.17520814578642538,
          0.16267670887608338,
          0.205361732271556,
          0.17815863908440788,
          0.20099984595776269,
          0.21706347065205908,
          0.23103041041956837,
          0.21218331200413493,
          0.16545731354943027,
          0.2081574759027878,
          0.20667670295895763,
          0.23871228595205712,
          0.1978096753009362,
          0.22413699093623676,
          0.20218851332931115,
          0.19409877400537276,
          0.2059068751727539,
          0.15633287179907218,
          0.22977587045540582,
          0.19463491393084612,
          0.18790343166183726,
          0.23506395664733995,
          0.19169543989830523,
          0.1757535345688354,
          0.18075459813919145,
          0.1916138630319212,
          0.20698664770328917,
          0.2268207078890605,
          0.1727477160117863,
          0.1792426632167262,
          0.1979327902431622,
          0.22035263727097518,
          0.19265320609043282,
          0.1654269940463948,
          0.16107443482766004,
          0.22614494324497034,
          0.2560757192903684,
          0.20385225275974383,
          0.169584977676075,
          0.20239671304312407,
          0.23171501356848614,
          0.19730278789253278,
          0.17935821163954163,
          0.19495936184783186,
          0.24577874538967354,
          0.1675012901873741,
          0.20077138120305177,
          0.20276413128664453,
          0.23947971337987659,
          0.17442030282183943,
          0.21305949130406254,
          0.2374431036678501,
          0.22362101926606126,
          0.22062940142590076,
          0.21180711391343968,
          0.13987625285380764,
          0.22299055824140443,
          0.18258387026325348,
          0.20127807394432234,
          0.18627812394523774,
          0.16723557065818812,
          0.19824010780728596,
          0.13714159210781626,
          0.1967918985188947,
          0.17949798790062746,
          0.15844396796190718,
          0.20272479631220758,
          0.21940919156824282,
          0.12321481524171868,
          0.1913649354599189,
          0.14419369950449934,
          0.21072118775208407,
          0.18650805815164975,
          0.15918983167924552,
          0.16665011182559766,
          0.1811898266822698,
          0.22216914611737512,
          0.2311257416641522,
          0.2353709713225379,
          0.1845894958646684,
          0.1902829912441298,
          0.19528187601352862,
          0.19956862344518972,
          0.20671919193722213,
          0.17399978689936543,
          0.20175493049994092,
          0.1830531154006223,
          0.1549556998857554,
          0.20676242370920747,
          0.18755820747223853,
          0.1918486828466889,
          0.20450053346256364,
          0.19040109793344945,
          0.20604496041742196,
          0.16900292595973535,
          0.19080219314450944,
          0.18920250670822397,
          0.2453271922550023,
          0.21542322548365556,
          0.20498121197325003,
          0.2192474617718107,
          0.19709060494831862,
          0.1462114165357518,
          0.16739089579700228,
          0.1863876648726742,
          0.17484750797399815,
          0.16481807306640878,
          0.1961341197557539,
          0.21980575991390988,
          0.16233846920134848,
          0.2288230758755753,
          0.18554098648896464,
          0.20039195132629534,
          0.1794905623429262,
          0.1955592487978612,
          0.21321831223598986,
          0.1721906260370607,
          0.21296558049362188,
          0.20640205339637815,
          0.17349431132943394,
          0.21044708318336236,
          0.1813422980339443,
          0.242366455072723,
          0.20622274203821628,
          0.16429801396796398,
          0.19458493056508033,
          0.2046350663785061,
          0.15958088699709222,
          0.19023310475550892,
          0.22588143829659404,
          0.1674485649946337,
          0.20039086067446077,
          0.17044016293640632,
          0.21840722641336913,
          0.2077859298814062,
          0.2041390688756199,
          0.20065414809159798,
          0.1928509634148422,
          0.14021097315795175,
          0.1838354667383253,
          0.21190437953108507,
          0.19048419178448864,
          0.24021295752512542,
          0.23134998195849182,
          0.18205246093135208,
          0.19535086012601657,
          0.1456895272048298,
          0.17460536563554466,
          0.23578246856157442,
          0.15625191910413275,
          0.21271244297842987,
          0.20854224545055577,
          0.14357858716377025,
          0.21115134946621428,
          0.21609546184957562,
          0.20440433537955766,
          0.17637160580292088,
          0.20255204035069863,
          0.183177493175922,
          0.19182880483216352,
          0.2379021391381442,
          0.21461608538667526,
          0.21025604641667572,
          0.19750155937982208,
          0.1725696561961748,
          0.23346519474558,
          0.18947056677699028,
          0.2199448280736932,
          0.1985428926500043,
          0.22605192805618363,
          0.240574630214168,
          0.19627641802296325,
          0.19974931844647212,
          0.20334303855331018,
          0.1938094525171002,
          0.22270267384213643,
          0.1684881927599972,
          0.19984803787930358,
          0.1795805947297438,
          0.1547570783239761,
          0.2057584444031858,
          0.21767696007807485,
          0.1919773880047961,
          0.23072361559250856,
          0.20588730944519554,
          0.21273166180686104,
          0.17924391607349593,
          0.19329888153196237,
          0.16041601114194667,
          0.15579236806391292,
          0.227403258765228,
          0.16824069926343993,
          0.19390657908028922,
          0.18866437935510968,
          0.23717006852766392,
          0.21667439644612294,
          0.21764433541630196,
          0.18533023342439825,
          0.17200629527586658,
          0.15639525300814835,
          0.17735567202164126,
          0.15736287135356297,
          0.1906699522727474,
          0.2230692778288919,
          0.19170722908028492,
          0.17174872501018218,
          0.22155425766105788,
          0.24667410590783295,
          0.23411013391108298,
          0.23461231941649993,
          0.16373471699730793,
          0.20522664615525682,
          0.18490696616706942,
          0.19854297569567508,
          0.16901105459346621,
          0.15916675993551924,
          0.18895132983371404,
          0.1861390303760344,
          0.1676484360775564,
          0.20570456686183905,
          0.1705673478847265,
          0.1497881254691445,
          0.2069823937763466,
          0.1932893701065316,
          0.161924322131548,
          0.20320605899249752,
          0.2100573102116194,
          0.18879105112231007,
          0.23403692114020697,
          0.14632662622157327,
          0.1616253186805165,
          0.1949957044468976,
          0.15002495256599013,
          0.21130358944859712,
          0.15823073730201279,
          0.14820980224514355,
          0.18691740378787355,
          0.2378477891534904,
          0.20091425774299457,
          0.16112138940968995,
          0.1479129383523886,
          0.2368462106301484,
          0.18461524607884108,
          0.18954684409895786,
          0.1986693004721401,
          0.17252230480950084,
          0.21527757515258164,
          0.17542539355735837,
          0.1619002947095713,
          0.2369769965281067,
          0.20110415733495787,
          0.18563310148441525,
          0.20553094252549772,
          0.21183285296683557,
          0.20612480534067698,
          0.1861304139110017,
          0.20290315844436635,
          0.1436799004224438,
          0.20717522785810238,
          0.225125812732652,
          0.22910206204499103,
          0.2050015001017306,
          0.17288769336354784,
          0.16948937972939426,
          0.15178914334666174,
          0.18654828004922494,
          0.19164258299899067,
          0.22181803311698708,
          0.17347468546294645,
          0.18217021897760746,
          0.20254315463810543,
          0.17708450998444109,
          0.178543382311753,
          0.1613871379532825,
          0.19339747140157726,
          0.19778630824952106,
          0.17725036944236994,
          0.18738735534885717,
          0.22342855460041863,
          0.20109819474644725,
          0.14759921959494743,
          0.1723225483160803,
          0.1527772042720968,
          0.16110861653647682,
          0.19350194760166473,
          0.1694784875691818,
          0.21157337671331317,
          0.19636561489119211,
          0.19028223968149746,
          0.18051974269362628,
          0.2182108224234316,
          0.19294696937384703,
          0.16664204234497082,
          0.2337902410288308,
          0.2370714646398954,
          0.21291906725080662,
          0.23831199896253658,
          0.19149666904422846,
          0.15763506974859762,
          0.16837790823916818,
          0.21651781052987015,
          0.17211997310847632,
          0.22273614264994815,
          0.13853250863260125,
          0.23099700767686612,
          0.15782018226455943,
          0.18383671793776327,
          0.21218434696277538,
          0.17307056962766804,
          0.1678351972118218,
          0.2028601529240291,
          0.20366304934739138,
          0.24059772330193477,
          0.17170407890199132,
          0.1940708976833743,
          0.21485031898949056,
          0.2051282296881218,
          0.2023516816503075,
          0.192476056460209,
          0.21911426044955043,
          0.19146960876219524,
          0.2295864508931277,
          0.15352559761492618,
          0.21867576792998486,
          0.18761210721889499,
          0.22474527850194745,
          0.1778580055179551,
          0.19149424871012719,
          0.17319927586340506,
          0.18364023014183117,
          0.17848843469250839,
          0.21631652640983376,
          0.20340451422977446,
          0.19547008595549525,
          0.2219868260393806,
          0.2114684717425355,
          0.20829975406623588,
          0.1821355962932154,
          0.19859831196852895,
          0.1829148082675644,
          0.19158638241789483,
          0.1595994996963097,
          0.2308640143566104,
          0.1695212451070806,
          0.14447323594683015,
          0.1855025398579405,
          0.22088256205266785,
          0.16210799314409868,
          0.18929996532668095,
          0.22501568267471936,
          0.20622785004911456,
          0.14106843174397793,
          0.233781622248793,
          0.2032060116871685,
          0.19526634567540874,
          0.2226918735576417,
          0.1950934134178356,
          0.22091389638472067,
          0.2066331468906914,
          0.19882290308119352,
          0.17345923711455472,
          0.20703828766166504,
          0.17995378825785024,
          0.21188666988523752,
          0.19940596239773253,
          0.18030493398939076,
          0.20272074409030771,
          0.16358306969187308,
          0.2027773547406965,
          0.21839076560024837,
          0.1825505252476624,
          0.22356724894554286,
          0.17948093425235934,
          0.18822087548722422,
          0.1746317000501716,
          0.17974922880556862,
          0.17589433271957025,
          0.18186589131594577,
          0.22226941667645392,
          0.1636434934608461,
          0.17300493197568456,
          0.24070368565881636,
          0.17766272301903419,
          0.20176823180908626,
          0.21236105141578093,
          0.16303750692201036,
          0.20640215766629394,
          0.229784285255178,
          0.25551661130630005,
          0.2091090217941478,
          0.1705046089069092,
          0.17115453567732938,
          0.22965808637044385,
          0.1921225241319626,
          0.21210184041440128,
          0.2052170965468044,
          0.20904193965574164,
          0.16631281008211823,
          0.17875465463230403,
          0.19098904111313736,
          0.17526296297006977,
          0.19564566290140412,
          0.2096198317568704,
          0.23023148214684008,
          0.22050680020572302,
          0.1860135477253216,
          0.23483166417453558,
          0.21296865125697526,
          0.2330036525574408,
          0.17455196077576932,
          0.20932481028578237,
          0.17864185286189485,
          0.21476512612015958,
          0.19307226711572328,
          0.21323526701590423,
          0.18124583154120144,
          0.2246185156314693,
          0.15442029596834533,
          0.18573098066103702,
          0.20488989601243512,
          0.19551575550933312,
          0.1505119863810792,
          0.2321927826353488,
          0.22006540461106408,
          0.1778534392570765,
          0.14631905778449414,
          0.21048697829739588,
          0.20553690771764485,
          0.21932208154142513,
          0.16552105214148458,
          0.21552364877423855,
          0.1796516466142584,
          0.2075374790006439,
          0.18309989529814752,
          0.2011345405992583,
          0.21828539638928446,
          0.20030849134911452,
          0.2066403673446751,
          0.2290834711162966,
          0.24199328921714144,
          0.17500504027491676,
          0.2166682847127408,
          0.26120130362884886,
          0.215242728939029,
          0.187111407282406,
          0.17782003738026927,
          0.2205809503879604,
          0.1994661028698224,
          0.17500123893748512,
          0.2295353842470533,
          0.16768255308304048,
          0.1898957999847882,
          0.20886579826289628,
          0.18641776638502813,
          0.2030435735422274,
          0.19285693295410064,
          0.23001110959748391,
          0.1906679951510061,
          0.20003927108561656,
          0.16098073386090397,
          0.195318306405274,
          0.22511788512483016,
          0.19339782835683575,
          0.14557619162246752,
          0.20704747274810742,
          0.2328942675651487,
          0.18102210673516458,
          0.23253794678638462,
          0.1842535854640756,
          0.21121700593242845,
          0.19618908139962232,
          0.20406781709699776,
          0.19336359417142449,
          0.17661973329547725,
          0.19246507329092605,
          0.2071105169974415,
          0.1944175254275097,
          0.23228529729008454,
          0.1622412595239859,
          0.19401494655151377,
          0.19994456325000792,
          0.17050637455521647,
          0.19461376039590578,
          0.21951929177291238,
          0.16311517568123446,
          0.17676167635298093,
          0.18911097856120626,
          0.14983824192548334,
          0.21166449262622733,
          0.2212683566634902,
          0.20848326282501295,
          0.20471083214681446,
          0.245277214078186,
          0.19610995176264295,
          0.18216369909200725,
          0.19412833648129832,
          0.23647981804091028,
          0.19923071292151226,
          0.20469531798312623,
          0.22403304942081337,
          0.19778062616091927,
          0.19138105968771493,
          0.15732959183067724,
          0.18977071321230968,
          0.17649467074891878,
          0.20375724796137834,
          0.21561190574882722,
          0.22679643676952702,
          0.1851860815654867,
          0.1520490501604574,
          0.24951231873345003,
          0.21365654224809344,
          0.18419957371098455,
          0.1658360042898707,
          0.21752557946766893,
          0.19647255284009976,
          0.2088951789245413,
          0.19680678514266503,
          0.1573465118705835,
          0.22069622723839477,
          0.20952814462168923,
          0.1995225230286837,
          0.17532955894336646,
          0.17942138465188734,
          0.14182981763679442,
          0.1731766377493102,
          0.1659945197854976,
          0.18272771002109958,
          0.1595107496500763,
          0.21345303329869758,
          0.17653824906457852,
          0.21258614110994553,
          0.1871822690804983,
          0.23329544140408146,
          0.19907157079518337,
          0.17721403080965503,
          0.2065192455706152,
          0.17244164396030381,
          0.17885722169360513,
          0.19734642675754402,
          0.1841668544044471,
          0.2042630131829208,
          0.17058010323667938,
          0.1916814732544732,
          0.21526791967068695,
          0.16448714173446627,
          0.1760315329639216,
          0.18835814860469552,
          0.22084463775239166,
          0.2106039750076539,
          0.1857422511668653,
          0.17892910722613264,
          0.17855605973089406,
          0.18814155959163412,
          0.22815847834765007,
          0.18908026523713603,
          0.14624497919917584,
          0.18633663948553839,
          0.2135911849122013,
          0.20246898207189062,
          0.1712478864485355,
          0.1980274898027742,
          0.1757169594923656,
          0.24558620235464987,
          0.16913130834310838,
          0.19612553888791096,
          0.22108886075666065,
          0.23866125572286198,
          0.18922503730204632,
          0.16641689931065373,
          0.20444651929711025,
          0.2136278439250208,
          0.16056328513102663,
          0.18911694698181508,
          0.1930359252453272,
          0.20216210141218488,
          0.19014662216139488,
          0.23461208478204787,
          0.17592246539766024,
          0.19840155261060066,
          0.2456806266549475,
          0.19715554884314476,
          0.2185418792249203,
          0.22009356534447921,
          0.2155082585946743,
          0.16136308173673436,
          0.19258221044638332,
          0.19589799926153828,
          0.23296918861356886,
          0.18895918175495194,
          0.1752088436346287,
          0.19959937618219017,
          0.2272189502587659,
          0.19025946613747916,
          0.185694526128331,
          0.1766464646538813,
          0.18987673515209916,
          0.14754212129520583,
          0.1705102702279398,
          0.18980978432920004,
          0.15582100126342258,
          0.16578348732697257,
          0.20442205751628312,
          0.2254541377724611,
          0.21546375213248015,
          0.18659678286562756,
          0.23450436396865493,
          0.20895691629081461,
          0.22419575370290934,
          0.10707545088331115,
          0.2395221987665638,
          0.21068724125170393,
          0.1884791240195701,
          0.20011272894306356,
          0.22278195443809165,
          0.20850316614933267,
          0.19776121666572466,
          0.1857627821147306,
          0.19158280346124149,
          0.20980820788318544,
          0.1887267361183093,
          0.12785852577682344,
          0.2359160899502751,
          0.1944757358770007,
          0.19838851846290353,
          0.1601167672374193,
          0.1898820845297493,
          0.2885043915255611,
          0.18329114710635583,
          0.18370676311432796,
          0.22964656569495107,
          0.1500061510614139,
          0.2277225107366312,
          0.14880480644995125,
          0.16334465295372505,
          0.19501204536011119,
          0.17747442462773647,
          0.23170455936621565,
          0.23077310110044835,
          0.23408998662142663,
          0.20505670665860615,
          0.22077379224184243,
          0.19300241366965215,
          0.24315548554308059,
          0.1949336445285251,
          0.196472494947853,
          0.17954582171822595,
          0.16203566072259165,
          0.21996455551168362,
          0.20553947031263614,
          0.13302742835865108,
          0.17150501098358698,
          0.18206056392546524,
          0.2538256325229626,
          0.23755061046016768,
          0.22908156992725542,
          0.18304538837770257,
          0.20915208038733354,
          0.21522330405555873,
          0.23740001411740153,
          0.17612544209131242,
          0.243433833814298,
          0.19575752011753642,
          0.20762396041605355,
          0.16443929669148225,
          0.20726524591030515,
          0.2085511458544522,
          0.20119802170208367,
          0.18980068090825356,
          0.1928886413835773,
          0.17518289056811265,
          0.1834513652140281,
          0.18904796334941207,
          0.21800979202969176,
          0.17070333413176877,
          0.15983330275516933,
          0.207276600959654,
          0.16728283998654747,
          0.1603084313419805,
          0.14664098063776856,
          0.15078439979865538,
          0.21742903365183175,
          0.24348733920695173,
          0.183921755832929,
          0.18106386601869023,
          0.18328944276815998,
          0.21770782212462284,
          0.18980357976953446,
          0.20673630266331167,
          0.18554075724178498,
          0.21599710088041338,
          0.1974843384139871,
          0.18102986699341567,
          0.2304562962338214,
          0.16939160674084988,
          0.19455605573085016,
          0.1986757466409014,
          0.19486620578702052,
          0.19428247739093457,
          0.1856338302638764,
          0.2140508017177915,
          0.17561553748335493,
          0.19451766343536786,
          0.20373719837564236,
          0.18221118680980933,
          0.20052573630659523,
          0.24055573500837932,
          0.2077200100025374,
          0.2057524607020556,
          0.1894730520462118,
          0.19612478051598062,
          0.1840026596969979,
          0.19184908099894457,
          0.19408137664958622,
          0.17393456536015592,
          0.2066606093634424,
          0.17331091901150542,
          0.22354581227149017,
          0.207107943520255,
          0.21294727055278798,
          0.1777729038316481,
          0.22588099609092294,
          0.1821485030260315,
          0.18709074404278397,
          0.2333095604251412,
          0.19672360719381554,
          0.1867218029691481,
          0.1706742737668986,
          0.17376551041895158,
          0.195760959848329,
          0.1858484755593511,
          0.18945456597160404,
          0.21482318504665807,
          0.2202279914015877,
          0.17522748343504774,
          0.17634785735148623,
          0.16913774074953228,
          0.23081629224180092,
          0.18452436875414807,
          0.2067168085427977,
          0.1743445766730046,
          0.18407823124472025,
          0.16493188734619224,
          0.17153225275009987,
          0.1656965927056975,
          0.2142789835056844,
          0.14439845213082708,
          0.20356806339728492,
          0.1927070266819632,
          0.21922686286064919,
          0.19185125571967712,
          0.18989536783486063,
          0.16756304075013784,
          0.19912532321102286,
          0.2288100402581449,
          0.17297617420325506,
          0.124788265113708,
          0.20261109055608334,
          0.21727870824254827,
          0.15493449192558406,
          0.23109356463468617,
          0.22720397106975168,
          0.18057165867219205,
          0.1776178894778685,
          0.21801659205611446,
          0.17719759368379692,
          0.18124784625408835,
          0.17546821062551504,
          0.17883605209294945,
          0.23925160763531814,
          0.22760221489770238,
          0.24580417644604638,
          0.21351652562934087,
          0.19640932649039436,
          0.20948752700350787,
          0.11540137031496452,
          0.2431660938984179,
          0.23587902087297924,
          0.20872559089497073,
          0.20713673021865284,
          0.13197727371370424,
          0.21804635083710258,
          0.180165055705611,
          0.19999820515548733,
          0.18291757717396068,
          0.1617302588573732,
          0.19481418866434164,
          0.1901708527378217,
          0.21857345719376628,
          0.17910464784735802,
          0.20461414662638733,
          0.20940147441658444,
          0.1951343122284075,
          0.23056402122706476,
          0.22419438324646493,
          0.22858557302529087,
          0.18500332038097556,
          0.2251611230716984,
          0.19812571235129758,
          0.2463039894190168,
          0.15354538976388998,
          0.2488652379283531,
          0.2502203229897456,
          0.21725355059667167,
          0.17621796602571715,
          0.20229265772577681,
          0.1986066151689808,
          0.21866031632022187,
          0.20199796206004514,
          0.1977511262052249,
          0.20911305285797366,
          0.20758108971373332,
          0.20130413803984287,
          0.20563157762364617,
          0.20395975469025415,
          0.22222260007402014,
          0.21803588825935608,
          0.1915023741158631,
          0.24770684154644335,
          0.1942563845361502,
          0.1799185327227783,
          0.16998068863480192,
          0.21791538882946399,
          0.2407247028547043,
          0.20433718233300366,
          0.21333892405169172,
          0.2334710350140143,
          0.17465107754945225,
          0.20800720072599513,
          0.14004199086085345,
          0.18770485227737949,
          0.2026063157350218,
          0.19763252406927045,
          0.23271127390206794,
          0.2003099227702951,
          0.1468192903719581,
          0.2057039656989622,
          0.1740750658980026,
          0.12654896204959418,
          0.17949627998837217,
          0.1395172568424014,
          0.17622515572222622,
          0.12644929580163133,
          0.21950402389656898,
          0.16416723107149045,
          0.21021345416081083,
          0.18418077131983826,
          0.22081730123234497,
          0.2094682370352312,
          0.17186776358714587,
          0.1549910791203395,
          0.2569216442012307,
          0.18157204390085413,
          0.2099545917032185,
          0.1809441313503164,
          0.18715565298976117,
          0.1793629723730514,
          0.2099287276747499,
          0.2079809768334963,
          0.233008001356041,
          0.13054590341858843,
          0.1306901881324648,
          0.19319964321477523,
          0.2004543897868774,
          0.17618202003876993,
          0.22825189011136768,
          0.198808121987339,
          0.2032333310864465,
          0.15640409715476486,
          0.1864185316960602,
          0.1303540117723818,
          0.2248258422550622,
          0.1979156322972186,
          0.21473538240769896,
          0.19547047782262608,
          0.225116897481929,
          0.20720303187774888,
          0.1846616198430913,
          0.16037360377580623,
          0.2098235772571101,
          0.19191909123881926,
          0.18860288829948532,
          0.21502917151913975,
          0.13944570935216175,
          0.21190405630192957,
          0.23095658867162724,
          0.16252549806856847,
          0.1896050410384243,
          0.1530921167255626,
          0.17125766421568436,
          0.17657591692469077,
          0.19122014740389673,
          0.19740353483189405,
          0.2128791761779983,
          0.2399476340820488,
          0.195488081182639,
          0.23046009094686618,
          0.17770153432861188,
          0.23049995919100127,
          0.1873147238593712,
          0.17263594984242303,
          0.22953321075911473,
          0.2172631862524089,
          0.17343089862775915,
          0.16987682773041582,
          0.2588049520853914,
          0.2258032358600202,
          0.20793769526247763,
          0.2120457682703756,
          0.14546778012191963,
          0.10381677152341123,
          0.19871972749086092,
          0.21163670109233923,
          0.19230794152578315,
          0.16530994840668906,
          0.268278394623174,
          0.18513036666969188,
          0.2036284240169627,
          0.1923332487371381,
          0.20641591183605965,
          0.18183263001399,
          0.20286584575707323,
          0.19420512719409738,
          0.20776402253459916,
          0.19671275398980434,
          0.2126048042222042,
          0.15917340781972059,
          0.19441634522495635,
          0.2132522061836036,
          0.16927472231794455,
          0.1543404997529342,
          0.1793415328872354,
          0.18398337487129077,
          0.22027711531109723,
          0.21482332985938474,
          0.22944221836305048,
          0.1696474276001732,
          0.1675920392021109,
          0.1866320638612179,
          0.16416473547715676,
          0.1779419687094092,
          0.19069104185382396,
          0.2366221674854363,
          0.196392079857812,
          0.2333003235220103,
          0.19641826451069747,
          0.20622525782351486,
          0.20849008340821465,
          0.19880548661360395,
          0.14472515417685713,
          0.18208766898996293,
          0.18250412511525763,
          0.1854726309028446,
          0.20893125361586157,
          0.20600327414594577,
          0.19559738869476953,
          0.20753587580452326,
          0.21313137568923105,
          0.18889985785301758,
          0.21191108575300568,
          0.21873929374237872,
          0.20428387062591802,
          0.20034695118369783,
          0.19058349046185402,
          0.21605128237744586,
          0.21123791688203206,
          0.17559978745362986,
          0.1836731177946606,
          0.18136167936628697,
          0.2309550270475289,
          0.14596982804200515,
          0.16755809041051567,
          0.2126644880391104,
          0.19824890049846808,
          0.19992111539965252,
          0.18690647667570418,
          0.17882882110480547,
          0.18238721887370876,
          0.22960057999839176,
          0.23592833246974695,
          0.21973413497975222,
          0.20877878502644168,
          0.21913183951970744,
          0.19166865829752444,
          0.20317071180004306,
          0.2205873083503524,
          0.22151590980936595,
          0.18649319331124334,
          0.22276902629097875,
          0.1996068318967329,
          0.194295879829184,
          0.19402252793198443,
          0.17220558385087653,
          0.19655869297133166,
          0.19855956567916078,
          0.20263457029554446,
          0.16373650456670216,
          0.24791682296912854,
          0.1720331229834047,
          0.19254037412470507,
          0.19933058836459053,
          0.1789477015395596,
          0.11809317558335825,
          0.18895829214692608,
          0.20434114405820558,
          0.22230581885845185,
          0.21560963245025183,
          0.16866265661334498,
          0.1991631263480448,
          0.16261198591701456,
          0.18548868145010997,
          0.19153966963501015,
          0.17096140419481765,
          0.20728101977882485,
          0.16001464785471495,
          0.18815420820755469,
          0.21422828582320785,
          0.17908803074076332,
          0.19640144864144823,
          0.19675546503861505,
          0.2264803508715067,
          0.12626766068197304,
          0.21755115804903385,
          0.1932316565555982,
          0.17344725073756123,
          0.18166210056876872,
          0.2127025546141305,
          0.18437456051441448,
          0.20347580123748255,
          0.18199256357238755,
          0.23908124161510258,
          0.22329906803284863,
          0.22007762721646648,
          0.2181615326951146,
          0.19848143537479113,
          0.19292722254021502,
          0.206219484498395,
          0.1919959524723614,
          0.16999849307705125,
          0.24822051687023158,
          0.1824159384791596,
          0.20404373525520064,
          0.17747343168493002,
          0.1991503780819578,
          0.17018286180759012,
          0.18834045818429976,
          0.16240238570760027,
          0.2222513983414042,
          0.17951488964652135,
          0.22222807661881017,
          0.19240283898610286,
          0.2204130889816607,
          0.20251912014230078,
          0.1967122075550181,
          0.1829066845149629,
          0.20022602108808119,
          0.22886476542455958,
          0.17739716706978884,
          0.2277675822972388,
          0.14526629949167297,
          0.20607771097370284,
          0.19535114044796217,
          0.16526592953970193,
          0.12366311031041977,
          0.2359641925204215,
          0.20027100927057823,
          0.22723555954853936,
          0.22162693515341825,
          0.17284597919127387,
          0.1457469266624674,
          0.18922739665888727,
          0.18429113685962709,
          0.11700122401985974,
          0.1787418219508974,
          0.2012382849662977,
          0.14130205377340566,
          0.17544820760471525,
          0.19306239524920252,
          0.24114128628448736,
          0.17453029221679286,
          0.18953491119548188,
          0.1863975912647322,
          0.17021075196870844,
          0.1581074286502368,
          0.18201143781234247,
          0.1468805283942567,
          0.19308778452044967,
          0.16712524470420614,
          0.181909077455457,
          0.19357458063247918,
          0.14939036797556496,
          0.20020921160387273,
          0.2340432951060483,
          0.18718024288079396,
          0.19460705165121708,
          0.1907917172251002,
          0.22324566520948047,
          0.22001902402873763,
          0.16973745266479925,
          0.17102138829825378,
          0.20527881020062502,
          0.2091866737551352,
          0.18341090685457595,
          0.21660873670083605,
          0.20190830973930837,
          0.2245594234660631,
          0.21421114865701021,
          0.17920133512003758,
          0.2214220867461538,
          0.18983511985242713,
          0.17528138670841087,
          0.19619691445767748,
          0.19853774262428578,
          0.21097060393226905,
          0.2060210492375956,
          0.21433582012631397,
          0.23613628160446423,
          0.15413409270350448,
          0.22728331216510664,
          0.20546692844893474,
          0.16426892955146033,
          0.21068032018517033,
          0.17745186397109722,
          0.23826726901287001,
          0.20077412396476205,
          0.17268010946806508,
          0.22628889117399525,
          0.17980487241888857,
          0.23091371233977412,
          0.20188347201109558,
          0.21174919029612851,
          0.21549351111831774,
          0.18658603151937528,
          0.22205966120434692,
          0.16960816841907658,
          0.18024575803393342,
          0.15968469924132928,
          0.18025728430996585,
          0.15525309303261467,
          0.18555798995836192,
          0.22961053329057937,
          0.17013137521702829,
          0.2023706718878601,
          0.2015528324947742,
          0.18265042720582486,
          0.17221381165112926,
          0.19759623829498588,
          0.19549145205577126,
          0.17797907548636055,
          0.21251146862852066,
          0.2069600117554436,
          0.2173756294872874,
          0.1971483142564739,
          0.22814993315678822,
          0.19717444950341548,
          0.2200587151730404,
          0.21525933084022425,
          0.1847345271513071,
          0.14324484158704712,
          0.17945096799444382,
          0.18151098523652212,
          0.1877229068417227,
          0.18884643198190995,
          0.18727428573754248,
          0.19459854242435606,
          0.1999534840967512,
          0.24114708199125687,
          0.16979050972907236,
          0.19934774916560394,
          0.2012600664282375,
          0.17354078011718815,
          0.1985415097628767,
          0.15777251908219078,
          0.15979588088160987,
          0.21792904025922238,
          0.22281944307556903,
          0.2003303872276866,
          0.21139576034120613,
          0.19432169714988687,
          0.2149224421662244,
          0.1643339392157825,
          0.19504319928463784,
          0.2681204493772489,
          0.2105791367061467,
          0.21793603996480215,
          0.1598102594031663,
          0.19365044206726567,
          0.2002209961247158,
          0.18014536155387043,
          0.17033948200051602,
          0.20203960553201644,
          0.17940700633964632,
          0.18954387014188126,
          0.18878817247507432,
          0.22648548876533203,
          0.19482130895901645,
          0.23404984269845078,
          0.21452041588197274,
          0.24485412705887588,
          0.20998390506945205,
          0.21405803690800182,
          0.2061569979898144,
          0.13432608038705884,
          0.16748270479398514,
          0.2174833185445435,
          0.20009738761610657,
          0.16428123636166983,
          0.17088950295025465,
          0.22780332036989967,
          0.2046226323336261,
          0.1739200703988215,
          0.21676060799527624,
          0.1896362162649085,
          0.19212942164447086,
          0.199876637767661,
          0.17074379057331038,
          0.1755578669126489,
          0.1970243495257871,
          0.2046489763716835,
          0.16902528204786174,
          0.17787511907757184,
          0.21751748127350198,
          0.18215329724897758,
          0.17862029272327093,
          0.20031450636513912,
          0.1588140264471862,
          0.22889148701053721,
          0.18070782558432374,
          0.21344531529300745,
          0.223469545892586,
          0.1326460244865454,
          0.21629496215191615,
          0.17436822037058256,
          0.14646016460017278,
          0.14511450596077707,
          0.19495924709277213,
          0.18528727150593216,
          0.20827172448559764,
          0.2091045793861629,
          0.19392328210729676,
          0.1873115564529022,
          0.25620778068179056,
          0.2342861912199586,
          0.16649390039159997,
          0.21998241937597474,
          0.21785524244260507,
          0.20422442232930604,
          0.20952798862915403,
          0.18621021516727443,
          0.16668361873694879,
          0.25937424808885595,
          0.17736283149713042,
          0.19506428643918403,
          0.2080901236996173,
          0.2292485376124807,
          0.1465196420099798,
          0.16798681443959543,
          0.20069028907751238,
          0.23184248904361193,
          0.20991516487325515,
          0.20514438002974617,
          0.2056350845071531,
          0.1985228890285619,
          0.2560476855498114,
          0.2003004228224123,
          0.15734711310490096,
          0.18909538977266738,
          0.161199459324165,
          0.19772902784673319,
          0.16421111774936595,
          0.20643628482017534,
          0.17070504148769444,
          0.18127660741526402,
          0.2124111698365012,
          0.22852687188449225,
          0.1620483300416186,
          0.2423190124357704,
          0.23545468376405204,
          0.1824944581052343,
          0.1620135522611859,
          0.1936977837526965,
          0.15011284413746503,
          0.2131066433355525,
          0.1948399961852215,
          0.16990050354875297,
          0.19650252054894715,
          0.21375171578136393,
          0.19573109967775335,
          0.20251192197597082,
          0.1971082491508332,
          0.14608794585066268,
          0.221457854479495,
          0.20286593137058867,
          0.18893686647017086,
          0.21998743367776713,
          0.2012127669918071,
          0.18787746420725682,
          0.179511289191912,
          0.1881088977431483,
          0.16342968348001904,
          0.2011951485096616,
          0.19891932678963553,
          0.24915336351339604,
          0.1584187947365793,
          0.1780648886750467,
          0.17744675221541317,
          0.1883235358826513,
          0.19997838224495043,
          0.23642388665682806,
          0.15633401915150782,
          0.16469680842747117,
          0.14400053056757472,
          0.22575086762304827,
          0.1642037447058595,
          0.16260757053873592,
          0.13558020613332886,
          0.19733361081384326,
          0.21068825658288198,
          0.19643833565291163,
          0.13384610209007916,
          0.1898035841604733,
          0.1982093777816136,
          0.1962959760413833,
          0.1518776029247928,
          0.20660721628830603,
          0.175141535502882,
          0.15964116878096132,
          0.23030909521878679,
          0.2310131027496161,
          0.20507192626987578,
          0.20438463995051837,
          0.22336405905444934,
          0.18306697828938487,
          0.25652732727179134,
          0.18452396647847158,
          0.1878184398018666,
          0.19722750075730913,
          0.21322658210009698,
          0.19638992817217385,
          0.21330828484957853,
          0.22811662027723106,
          0.12587738611083377,
          0.1698864635358012,
          0.19832797157919665,
          0.18969298259649092,
          0.1975856369233679,
          0.19263224611091076,
          0.2070458757134532,
          0.1942419646014442,
          0.15387687892031932,
          0.22325763239055443,
          0.18305434053310493,
          0.2211527332158279,
          0.2064780864373492,
          0.2037147546278721,
          0.2279291771055451,
          0.18038838320803915,
          0.1599410018761158,
          0.1727740844571903,
          0.18178195220406174,
          0.233009290465843,
          0.18247142553685916,
          0.20305140890837892,
          0.22746982672664193,
          0.17081430355258098,
          0.1782344968704645,
          0.17847550671180562,
          0.14204055774709812,
          0.19099050172589277,
          0.23527798324444338,
          0.2125640995162606,
          0.23527342927342645,
          0.18351433257778565,
          0.21854901310175423,
          0.22807461547624516,
          0.20055649479128992,
          0.2590817892015397,
          0.22321677020007374,
          0.142011444643355,
          0.18895082253683385,
          0.23492623075460745,
          0.21695498185057044,
          0.22811948248834008,
          0.2259873457359001,
          0.2223315289825219,
          0.21089189972831535,
          0.1985294003832174,
          0.18260632388015657,
          0.187159807188811,
          0.21422270817740022,
          0.16125386157044921,
          0.2005485244047052,
          0.18411858944817633,
          0.19320934290298453,
          0.21402196636103088,
          0.16279365592112505,
          0.19106211122148892,
          0.2106072607918405,
          0.17780000337689703,
          0.16939922413827888,
          0.19433054443678474,
          0.24188987899763947,
          0.1838777641689924,
          0.22578628283595903,
          0.14005474413289934,
          0.21204130609083302,
          0.2035202546301938,
          0.16155257235230122,
          0.14771262618605893,
          0.18056742864376257,
          0.2075582451261651,
          0.17474249435796685,
          0.1946494384602486,
          0.13735024217314903,
          0.207844066620074,
          0.2080878267121209,
          0.13588218045168762,
          0.18080552932255586,
          0.164394103163254,
          0.2388502462229055,
          0.17911845557394562,
          0.18933382341175103,
          0.18570398346481048,
          0.20242394256501184,
          0.20590141587354313,
          0.22933551771314037,
          0.2381395616706079,
          0.17882539404134618,
          0.22412351694003158,
          0.22997572485646273,
          0.16599404531456424,
          0.2117775070983007,
          0.2219302828287882,
          0.2126357806930584,
          0.16115331906892214,
          0.17831877903626916,
          0.20243611138392376,
          0.21643406094147014,
          0.20637560430228505,
          0.14974318383237692,
          0.19143893119269925,
          0.21056724377657235,
          0.1963619012728961,
          0.22162106214726748,
          0.20053300912567096,
          0.20491441869296836,
          0.17746807055099095,
          0.19460324543661647,
          0.22150424020436726,
          0.21817246455667255,
          0.20905724291441546,
          0.16389705391975942,
          0.17161914885280866,
          0.20858676088819944,
          0.20774486807643983,
          0.1412382989005608,
          0.18212489706308652,
          0.2111866432477334,
          0.24225806977413664,
          0.18466628775047264,
          0.15724687605496984,
          0.22490257248221585,
          0.14091457007127162,
          0.17749621190692488,
          0.22204763630593366,
          0.22282682902725034,
          0.2085337037301746,
          0.20473755440934405,
          0.19489601623640784,
          0.16963316171883172,
          0.16705684362269932,
          0.2514818596568911,
          0.16131079585022062,
          0.1814793091371447,
          0.1907027263892974,
          0.23420279094523153,
          0.14022331920908804,
          0.20623691436514197,
          0.22196797759932432,
          0.19618569161533342,
          0.17750274952969486,
          0.1830399858333744,
          0.19203057110889268,
          0.19710258550348717,
          0.21400725024204686,
          0.20055918650057464,
          0.17303981734330443,
          0.17247366709397774,
          0.20814892579255684,
          0.18248730480745112,
          0.18103848955146098,
          0.19158393617833688,
          0.2204239735602631,
          0.19141092493759712,
          0.19902666270420555,
          0.22395027776345022,
          0.2089849800818843,
          0.1786016381681169,
          0.16706577288400468,
          0.1916838805557879,
          0.11335922635947612,
          0.1975667421144486,
          0.1849793181609427,
          0.16395443991905043,
          0.20492034051985233,
          0.19131049816688522,
          0.20877542763019027,
          0.2013509885826046,
          0.17606951652772876,
          0.22213340311748206,
          0.14935950582634572,
          0.19465022765198586,
          0.21985084274900674,
          0.2265912511055041,
          0.24554173880036176,
          0.21234113652231557,
          0.1652729597619797,
          0.19811435345143885,
          0.24700689985198857,
          0.21834380909410994,
          0.2118679875883128,
          0.1647482750093573,
          0.23141161065246948,
          0.2314891338235226,
          0.23459186271785576,
          0.2307042581025492,
          0.17119320159345708,
          0.21772899911504548,
          0.18001504288639705,
          0.14305001740535078,
          0.11032318237508548,
          0.2064176196011429,
          0.18055667923212215,
          0.1752098683569371,
          0.19216499867670458,
          0.1825332391118024,
          0.16743262149369703,
          0.16513040457938702,
          0.17439368708560438,
          0.22578990243787073,
          0.20581315144418588,
          0.22489376103144226,
          0.20510695015725736,
          0.1911691823414324,
          0.19897727326289977,
          0.2425681706725367,
          0.2008647368851707,
          0.16723921614126486,
          0.1552630054013019,
          0.2289628485602942,
          0.19403737712462218,
          0.1826396446864572,
          0.19544225153906944,
          0.18846360804072132,
          0.18610097485295826,
          0.20781721051731472,
          0.21473719368799876,
          0.20033311555468997,
          0.19396741430982986,
          0.16946559469604366,
          0.23440299622598187,
          0.18180395931659282,
          0.20360501765859937,
          0.18439320857388763,
          0.22844008921089667,
          0.15773066290442828,
          0.19698850236205576,
          0.21015544989012658,
          0.19354796040049907,
          0.19385751644944332,
          0.18632586877753396,
          0.1690756912439861,
          0.18741608062575232,
          0.20627208686092702,
          0.18272516807703082,
          0.20919688987803264,
          0.21218898582427032,
          0.21559123451336157,
          0.17905660069144239,
          0.2809952077872185,
          0.18395736297893223,
          0.16178613523634316,
          0.14998502608185557,
          0.1898155531286444,
          0.15933585987849996,
          0.20544151799373514,
          0.22780805741492793,
          0.2263372488581162,
          0.20660038553598084,
          0.20801729176120823,
          0.2208794177009623,
          0.18617806603344078,
          0.18369317118812967,
          0.22241513613316427,
          0.18766452040150705,
          0.1770195235539809,
          0.2183263108397777,
          0.18728241063306889,
          0.19388536949884216,
          0.18667081998293214,
          0.2394748841633874,
          0.1559919964463721,
          0.21466016873736524,
          0.23365818854906809,
          0.19750110451116032,
          0.17641680426821893,
          0.20505240118567014,
          0.16036228132975294,
          0.16442916738051103,
          0.20955329560905414,
          0.167408611631425,
          0.1888270643457133,
          0.19893633259136878,
          0.18707034761282296,
          0.21628016836741112,
          0.21918127104436647,
          0.23565688600658694,
          0.16959152457578425,
          0.20626565732615781,
          0.20855494345837422,
          0.2025331674756962,
          0.17254700099764855,
          0.216931807425483,
          0.1935928971925678,
          0.18217061690267355,
          0.1985152857148966,
          0.17023775985423176,
          0.18984658285459244,
          0.20281853823829307,
          0.21731776888462803,
          0.1697989369580615,
          0.20207862386393477,
          0.2067048465588805,
          0.19572739352955346,
          0.23118558889804514,
          0.1929635620991525,
          0.20086339800853673,
          0.18878528031662967,
          0.23536502241606172,
          0.18660956031419698,
          0.19142837678543922,
          0.1894158671825977,
          0.24127175940410797,
          0.21934330484328035,
          0.23073798811749843,
          0.184620579294284,
          0.18411980983529355,
          0.23263472288599574,
          0.22802124522802675,
          0.21554801801145562,
          0.23547779853809145,
          0.16447472843640507,
          0.12802629748668476,
          0.23527767274591255,
          0.18652501637555013,
          0.15481254372752898,
          0.18154479572136822,
          0.1504729554186243,
          0.19941801836868459,
          0.16439092344737635,
          0.15657194096381377,
          0.20196920388235373,
          0.19983024611744685,
          0.1775761541179975,
          0.2204071979627324,
          0.17832280939346737,
          0.18526029360352383,
          0.17251598062798948,
          0.21331057052423166,
          0.23304727222447688,
          0.20630363459911494,
          0.1774353680875611,
          0.20307823337004874,
          0.15977142575644548,
          0.1600235988154778,
          0.19225756693956614,
          0.20707947584323005,
          0.1702689570954796,
          0.1923172926275496,
          0.1900085240986833,
          0.22984094065531732,
          0.21240602420414598,
          0.15526061747388029,
          0.20134979828656785,
          0.14211635814877696,
          0.22526195017909165,
          0.14672154988215302,
          0.15948396378848806,
          0.15943966887947728,
          0.21183771610188812,
          0.14706149058028248,
          0.17444321348661887,
          0.1696855711297546,
          0.22668760519169984,
          0.1744832648313818,
          0.17606593605412468,
          0.18168992796829062,
          0.17788288316023113,
          0.20930811745311168,
          0.206824410046571,
          0.16360527067017072,
          0.20278179860993267,
          0.1551542058377686,
          0.22936508168455613,
          0.1295167690119009,
          0.18105689431867028,
          0.26297918829526434,
          0.23638314193416818,
          0.15635151457593846,
          0.28131090167926287,
          0.19510742678513252,
          0.19167671161699792,
          0.2011263426877274,
          0.24485325894076837,
          0.15299725324649047,
          0.20010058483021748,
          0.17938988896366725,
          0.21648381156797414,
          0.16421783510251076,
          0.17358346101753142,
          0.1938332273107028,
          0.19622706886940677,
          0.18196787323132785,
          0.15489265711363656,
          0.20895370951002185,
          0.21712947114468015,
          0.20255118165439218,
          0.16712542945488737,
          0.18460811302042573,
          0.16786499417579062,
          0.18380216389722107,
          0.22079455049136776,
          0.12573035886928896,
          0.21092537854626214,
          0.1942387288945409,
          0.24324224452503146,
          0.14314571819854507,
          0.1290492259206376,
          0.2421404804438662,
          0.20975207701832482,
          0.19880321074605936,
          0.22026192008828901,
          0.1850423270325212,
          0.21225885553640575,
          0.183366580664548,
          0.1728314668497804,
          0.14322731289627114,
          0.22121434024845485,
          0.22330272560057363,
          0.1734580025976434,
          0.14232980126857087,
          0.156952109645489,
          0.23909841515916286,
          0.2630067814653981,
          0.20319161467729066,
          0.2318771477208753,
          0.14070540186322295,
          0.17611953778263847,
          0.1856779603516813,
          0.21399091381719004,
          0.1890502632541136,
          0.20390751136426546,
          0.20074704529677911,
          0.18687213095823668,
          0.19231289024591838,
          0.17331263926977655,
          0.17645375932502438,
          0.1715086684411891,
          0.21506872018457632,
          0.21369626273468817,
          0.19906252532199542,
          0.15807237620858738,
          0.2173778487034615,
          0.24769397872967358,
          0.16861142611407426,
          0.18885505739496447,
          0.2351760618881539,
          0.18722177591512154,
          0.18069746631776296,
          0.13153256750789982,
          0.19927926073853747,
          0.21713890117855278,
          0.20283367110578163,
          0.18400915878221813,
          0.17063247415786,
          0.2118903421032974,
          0.20185254728132998,
          0.18501375105434173,
          0.20434404741262804,
          0.17856122803736665,
          0.21613949285927014,
          0.181015866224613,
          0.19021521978769243,
          0.19780157750742894,
          0.19527966601831523,
          0.18080830390982164,
          0.16164334451600623,
          0.20836263877113984,
          0.20092425535296862,
          0.22717075851458413,
          0.19433141971713794,
          0.22325402903510502,
          0.17688927058377119,
          0.2060781373814297,
          0.1970417869753576,
          0.1658788796929055,
          0.19404610758746418,
          0.16397355062010183,
          0.17156068806589664,
          0.20242288487408922,
          0.2005158960631629,
          0.200901723261732,
          0.16623413274780602,
          0.20303503194243136,
          0.2189786053821631,
          0.18587158220232233,
          0.20233730724717433,
          0.1892279898925959,
          0.16160653685758114,
          0.14802033255409558,
          0.18506931473736515,
          0.1965903534387626,
          0.20518521433826045,
          0.1953328487613575,
          0.18380949454656678,
          0.26235411839825457,
          0.19204954726841147,
          0.1877533073594838,
          0.21254685848168053,
          0.20576923136869937,
          0.13001123153658325,
          0.15145962539505436,
          0.19978018336407663,
          0.1875978677583058,
          0.2133220151337483,
          0.19781559901539542,
          0.1644778039271781,
          0.18838128311099922,
          0.21703286723823034,
          0.1729020358102602,
          0.159379257376004,
          0.18474071597984776,
          0.17403871281954014,
          0.18639945106176115,
          0.17403434739184256,
          0.18740512782042126,
          0.19738203811299704,
          0.2051739387345456,
          0.22958169988453078,
          0.2020756175579765,
          0.14704421989471333,
          0.18667085633689115,
          0.21201114763095558,
          0.14636159802384666,
          0.20452894650873701,
          0.21669843703319236,
          0.18316523096135295,
          0.21847909761660267,
          0.20357409461945183,
          0.18368333589504746,
          0.19694548430090592,
          0.22230181968917345,
          0.1809038017012613,
          0.20681000674395444,
          0.20576914372050725,
          0.2079602444887058,
          0.2281719149574737,
          0.21313748124432644,
          0.20755021236948284,
          0.21760377771736614,
          0.1575160621288437,
          0.21798414873571695,
          0.20655216803538648,
          0.21128607279676864,
          0.22470278806078745,
          0.18914218762918575,
          0.2136448512142906,
          0.19213545649131014,
          0.18976743847979896,
          0.2030130998571793,
          0.1920212795429774,
          0.25437031381546044,
          0.18610818663272613,
          0.19489173208581378,
          0.11407196560344127,
          0.20755660043860086,
          0.16342610321343642,
          0.1835234195143446,
          0.19154081749470506,
          0.15472333294035437,
          0.216116405330669,
          0.21245295905161246,
          0.20157784523835626,
          0.23384298732255082,
          0.19059744521553917,
          0.1537707124248697,
          0.20440985068919465,
          0.19011088597840345,
          0.17051610372383888,
          0.20997337600637594,
          0.22373244659222621,
          0.19112301092042308,
          0.18017588100963253,
          0.18731392721594095,
          0.21729811823996784,
          0.1791187612222122,
          0.20781000984160394,
          0.19511401566261288,
          0.2086164701046915,
          0.187600493196066,
          0.14409453564731647,
          0.23468231211071358,
          0.20277578573920393,
          0.18936081943153188,
          0.16035290378435052,
          0.24615583296057478,
          0.17440554211938772,
          0.1794665602254926,
          0.2244876080716085,
          0.18751844376501073,
          0.20363984235730265,
          0.16822092950566603,
          0.23782069226729305,
          0.1866164864302756,
          0.20512298233423878,
          0.17116088483965652,
          0.1599069689689476,
          0.2068496850315163,
          0.1828248654955894,
          0.18451575772998097,
          0.1848603101136593,
          0.2118370435351266,
          0.22607658527025695,
          0.19597350185682716,
          0.20754915891988068,
          0.21270722812241785,
          0.18517339672459002,
          0.1809539500772246,
          0.20582837785115202,
          0.20782091800487804,
          0.17786219006987944,
          0.2281396372641436,
          0.17855835697351652,
          0.1617476335484253,
          0.16501829060724252,
          0.16069880645313886,
          0.21627792798620965,
          0.1523419640267756,
          0.1589186910537282,
          0.19468572000203474,
          0.20523751149393257,
          0.20559678526410788,
          0.14867391990574658,
          0.22910854566368835,
          0.2099515587713487,
          0.16722543119434968,
          0.1917782233566216,
          0.23048939948060726,
          0.18343050168590086,
          0.18989071217575265,
          0.18525526361823247,
          0.21478021035418593,
          0.1635378405930666,
          0.18035158043629124,
          0.1697376521163262,
          0.19620575971136622,
          0.20967692365752078,
          0.2060727672673835,
          0.1544951052239389,
          0.1669497052570593,
          0.1851906150888869,
          0.20402211130562084,
          0.13858937840334334,
          0.18348303565455132,
          0.18435446572167907,
          0.20335257993232203,
          0.15882875083669099,
          0.2139954056692548,
          0.19229736809161938,
          0.1369554692618116,
          0.17146415489209585,
          0.21665766846177784,
          0.20075049994058827,
          0.24626325767373544,
          0.20815627708502177,
          0.1804362858232275,
          0.22186343201904019,
          0.23273848999213814,
          0.232519676352237,
          0.2195251950800246,
          0.21775293249063774,
          0.2090877878347543,
          0.17474977301162922,
          0.16717070554539143,
          0.21973296820459212,
          0.2170722767510442,
          0.1774066170133317,
          0.24093546911052052,
          0.17788450852176743,
          0.22585427118463777,
          0.19982229612127636,
          0.19236533561612143,
          0.1687391179139606,
          0.16111059816428597,
          0.18558348838815028,
          0.18692970871015444,
          0.2246712167378708,
          0.2431947421953155,
          0.24121950895087577,
          0.18061034933991055,
          0.23438356421132583,
          0.1825588901126326,
          0.23833505624360815,
          0.17354306122413624,
          0.19826482578134097,
          0.17837659262581798,
          0.21264486767814753,
          0.12203774575307619,
          0.16450025375360383,
          0.18556541450845254,
          0.1892899291502685,
          0.1942287699279481,
          0.21260361399952715,
          0.22685710220005514,
          0.2130116084896039,
          0.19914518831425557,
          0.16094646044363106,
          0.18860262542135628,
          0.1835373763035704,
          0.22847510221544473,
          0.1966157686689456,
          0.2327677093571037,
          0.21499098800817842,
          0.19818490168228375,
          0.17980040537556707,
          0.17240439669612395,
          0.176690518660221,
          0.1470359894433042,
          0.25826157036900593,
          0.21693130239412745,
          0.16246138361746248,
          0.21147312948953226,
          0.18935170169730217,
          0.21834120500502555,
          0.1362185812936382,
          0.14262555732250842,
          0.21505906419911253,
          0.13240352434728997,
          0.20326039545588478,
          0.2272192242224567,
          0.21297174091477866,
          0.1598757593263846,
          0.1603984156558891,
          0.20338621703602403,
          0.2102776963482549,
          0.15957495928303372,
          0.19438033233259,
          0.1805794787798422,
          0.23939374933338622,
          0.21371090002833867,
          0.2405825063167869,
          0.20288442785478172,
          0.1170066804675512,
          0.20032403434780874,
          0.22413874157665142,
          0.23737182182775435,
          0.19257694575080384,
          0.18146086535371628,
          0.1966313265412582,
          0.21000781201034505,
          0.20488082483918307,
          0.18491868084289545,
          0.2160017279313702,
          0.24524227787903677,
          0.1884021100869737,
          0.21364535667565207,
          0.2111374656903977,
          0.22735193136334197,
          0.16392829543016743,
          0.14227991640839294,
          0.1786091860881326,
          0.16911729509072415,
          0.24117674179229956,
          0.15447090078635664,
          0.2089260810524822,
          0.19651011060753493,
          0.18830473726174934,
          0.16493367400176628,
          0.22330841694750486,
          0.22538327384067647,
          0.19709805116392487,
          0.19454351550319926,
          0.16037940843542564,
          0.1787175175019243,
          0.17812754219305815,
          0.18329584535516275,
          0.23913775626839773,
          0.22516107792396053,
          0.25691095125351865,
          0.22243731230614197,
          0.2322788386147014,
          0.1845983635229627,
          0.21551874526679632,
          0.20036571521401372,
          0.2019491412094712,
          0.16168982747769117,
          0.20887303808152277,
          0.19036242354242075,
          0.17086969748062295,
          0.2115181766967973,
          0.19590727799577612,
          0.19165329889587743,
          0.2066681397025825,
          0.1767398474878115,
          0.18009177104586702,
          0.1894585851663693,
          0.19849645521561213,
          0.1824172815860041,
          0.20888720256633347,
          0.17608441543621303,
          0.19274101875117286,
          0.19973377091776517,
          0.2490110597614922,
          0.20958499547103396,
          0.1439041924774068,
          0.1664360614470184,
          0.17320283482954538,
          0.17809127973864836,
          0.2243455955084092,
          0.16956812219729955,
          0.21736610280915175,
          0.22458199889773056,
          0.18805336584930019,
          0.23569477335211644,
          0.19758605954168457,
          0.1658012849730185,
          0.1848043820623899,
          0.14197649637659038,
          0.2024705306922124,
          0.1941789915159694,
          0.18336550455751033,
          0.15991141581559656,
          0.21556924856341092,
          0.20851312106118183,
          0.22758899091708418,
          0.21702607926850598,
          0.19059743987555058,
          0.18061563888920226,
          0.1828029566048686,
          0.2294574567561422,
          0.23421100907623435,
          0.17031508454034572,
          0.2139550835876915,
          0.16962335352608815,
          0.21127985703078456,
          0.16568281332321513,
          0.22547784032288834,
          0.21335519438643746,
          0.20453766529484532,
          0.22522828209679577,
          0.1522421719102862,
          0.18062938097290965,
          0.2308179476281951,
          0.15670664541712415,
          0.16093987086596725,
          0.25489858163794415,
          0.186869597024182,
          0.19711288002434377,
          0.15877588493189404,
          0.19573069625318412,
          0.17626088406550883,
          0.1708595425286537,
          0.21710181960081945,
          0.2036803949262058,
          0.21270005989040272,
          0.2188024566809323,
          0.24552364077267136,
          0.19723648914606434,
          0.19243411246333864,
          0.15358283927328456,
          0.21305766330385564,
          0.17702871103552253,
          0.19418092773699136,
          0.19113507276649008,
          0.20953490101943023,
          0.18520885547522947,
          0.14124609776680697,
          0.1627171816333548,
          0.19220760178858526,
          0.19379098301272757,
          0.14486240079053386,
          0.18383606047832762,
          0.2235973136342882,
          0.19562885867256974,
          0.21811091638118846,
          0.2156378789845623,
          0.19004593624264643,
          0.1975755591172534,
          0.1754891694550554,
          0.20539797562005638,
          0.1701392224229825,
          0.19866330094025766,
          0.17351136807001144,
          0.16312238655311428,
          0.21690300103493462,
          0.146423980096573,
          0.1612678844770473,
          0.17341443052234606,
          0.21628855877051606,
          0.16315876578011523,
          0.1922028951724295,
          0.18424747051609608,
          0.17706579780775228,
          0.24633625509904997,
          0.24002809092128574,
          0.23902445015003057,
          0.19318797600044857,
          0.1774141705383979,
          0.1737625143349653,
          0.2167462865938819,
          0.16501524190723738,
          0.2069963669230926,
          0.20772473341365968,
          0.12455661668093536,
          0.17138690487016728,
          0.19721329876092292,
          0.22406190754986918,
          0.17666045360493232,
          0.201161378645573,
          0.17998940996006627,
          0.20337780164335062,
          0.15335169592817446,
          0.22214740468497388,
          0.20251398230744805,
          0.2050803361863235,
          0.16806204750502027,
          0.2078560883661332,
          0.20546945520931886,
          0.12554293556681867,
          0.19346158315154827,
          0.15800802284984708,
          0.18552012789057978,
          0.19976786251036507,
          0.2081033037033006,
          0.2322712986836012,
          0.23378707549233133,
          0.19541271250683395,
          0.2531411847288986,
          0.20377932161797638,
          0.21084552039302676,
          0.1910482195732729,
          0.17540075187087836,
          0.19435710437338463,
          0.19642853156295761,
          0.1306371167458315,
          0.20016717605892298,
          0.18482301130590104,
          0.20817405345279819,
          0.1841071354995566,
          0.20175756171834372,
          0.2085734361330395,
          0.211657170447231,
          0.18898599426032753,
          0.16810180260486243,
          0.22002309456490582,
          0.21733362151794852,
          0.2533634448705501,
          0.17249658263520476,
          0.21778042875551942,
          0.2017596876985676,
          0.2006604308960653,
          0.22435935307060786,
          0.1847658816221615,
          0.2100552498871513,
          0.20856554055985962,
          0.22100003537662294,
          0.20683222543935775,
          0.253800393001136,
          0.20353408121627106,
          0.14529862416058004,
          0.16126734883328536,
          0.16654181583417868,
          0.19728505598840235,
          0.14850606081015513,
          0.22066157170109335,
          0.21059499501128115,
          0.19172711484892538,
          0.21599537787015802,
          0.22333342766727438,
          0.2016857440084493,
          0.21312883572563648,
          0.1661359023054055,
          0.1883297630323927,
          0.1444239105828538,
          0.1773492519614143,
          0.20322084329412754,
          0.2044656345533699,
          0.24860126192484305,
          0.14034683140096604,
          0.23036698790392643,
          0.1848674927361284,
          0.21972505861238675,
          0.24550776891376092,
          0.1658853558616568,
          0.18038828837045712,
          0.19899057971548775,
          0.1815214686860606,
          0.16794274743275492,
          0.2044127040243338,
          0.18283052628893046,
          0.2098756168334037,
          0.1958658740480867,
          0.15900733959877175,
          0.2487717740804326,
          0.2126755190718203,
          0.20362410121010185,
          0.20293427274783585,
          0.17553980627025775,
          0.2035515859903439,
          0.17216701982526714,
          0.25215448130339313,
          0.13929230121881536,
          0.182864477349187,
          0.1844254303260591,
          0.17917985973602088,
          0.18030726551413317,
          0.21683955262057658,
          0.1762791661652799,
          0.19286483196695092,
          0.24700030671300768,
          0.20115226504964936,
          0.2006626148284926,
          0.21815999616461051,
          0.2010835567722301,
          0.1761761520763663,
          0.1718266659079033,
          0.19705018097835864,
          0.18866040129772907,
          0.20267654253846196,
          0.1905673491539554,
          0.21586808838418098,
          0.20706375387889883,
          0.19523006181684346,
          0.2156002186640248,
          0.212316195494689,
          0.21160598807884332,
          0.14793853689402417,
          0.18251265350072524,
          0.1998297031735282,
          0.18494354220139653,
          0.22013447755745355,
          0.1966890641400739,
          0.17987285787515744,
          0.24055794537659328,
          0.21368441644276484,
          0.19370245891111812,
          0.1545889064466074,
          0.21285935015883364,
          0.2124484997934167,
          0.18778528666234678,
          0.18461281557723594,
          0.18908492530224608,
          0.22872240383862627,
          0.23220733607199345,
          0.20786909853833183,
          0.19217748898137743,
          0.15046413560528424,
          0.21637455500599911,
          0.145285144008846,
          0.17385056934228707,
          0.24057864962836745,
          0.17718352565464052,
          0.16987523802575785,
          0.21925613944070685,
          0.19474091808907334,
          0.19193806268191133,
          0.18304010982403995,
          0.22063151540676082,
          0.1802955691220956,
          0.17723087955009945,
          0.19109632293978884,
          0.20050499841195674,
          0.23675621587246057,
          0.19350852237073626,
          0.24652357571414069,
          0.25594078698255857,
          0.24612377368394925,
          0.17667864236662695,
          0.1773793024200879,
          0.17560551281943512,
          0.19269213801353477,
          0.21489073989773325,
          0.18154484318608605,
          0.14743645767862915,
          0.23177838013540444,
          0.2176317776286375,
          0.21700141458743827,
          0.16179550277739715,
          0.19128872721152082,
          0.15061270079939088,
          0.20994045920693724,
          0.18773837444142488,
          0.21999891992971662,
          0.16548034966775269,
          0.20192928883594718,
          0.18062569597368014,
          0.2273441651407293,
          0.18691221582867265,
          0.2520458048595512,
          0.16649859199529543,
          0.19156001909179066,
          0.20703780073898018,
          0.1932989706863218,
          0.20810982443715034,
          0.2285045975086031,
          0.1696844956929205,
          0.20560841875101463,
          0.19738565222651044,
          0.16389941652720513,
          0.17153085165279544,
          0.18113789880113731,
          0.1933739293257962,
          0.20570790826395444,
          0.2514525172219257,
          0.1738645129864234,
          0.20912501385246715,
          0.20874583188598123,
          0.23042851323812755,
          0.17791225837473743,
          0.21867243203545464,
          0.2250496138668861,
          0.19960806036239928,
          0.21571726619258044,
          0.1929642762843775,
          0.17588506346739635,
          0.19368155588865565,
          0.21755609829007466,
          0.19411009022797476,
          0.19838485469363928,
          0.17152583208819866,
          0.21430466316087957,
          0.2151844247395288,
          0.22107078386523912,
          0.17795517657677765,
          0.18376580535818215,
          0.19353783699765686,
          0.20668123061001026,
          0.1713557073871013,
          0.17500168523030632,
          0.1721979333042885,
          0.19180055099161,
          0.2056243248600645,
          0.18705578959433777,
          0.20735175042003012,
          0.18082055644527956,
          0.19966849743182322,
          0.22482994198846304,
          0.1979532553811011,
          0.18848484430777038,
          0.18900830089716997,
          0.19796647557070662,
          0.14420231737339956,
          0.19302417528853458,
          0.17234291229356333,
          0.18762746786674558,
          0.21622597316728578,
          0.1937496530881777,
          0.17097726637280725,
          0.21057456517268772,
          0.20633167561921903,
          0.2280333925021499,
          0.23148780164161606,
          0.1963078419743512,
          0.17221335763121282,
          0.18947614863597728,
          0.19551433414165614,
          0.19327790493972902,
          0.19539413314502374,
          0.2413324822560593,
          0.18005628246025104,
          0.24417223161495188,
          0.2356901496302007,
          0.17526580085786103,
          0.20502469460233072,
          0.19379421751835624,
          0.17089455007340867,
          0.17275815516834891,
          0.18311411983927503,
          0.2053102536964632,
          0.18142331183738614,
          0.14825596731072696,
          0.14118889067795992,
          0.1921926892458914,
          0.24023519256066914,
          0.19255947958219566,
          0.21546143130546222,
          0.16444112410559678,
          0.1600553034961047,
          0.1883568217961314,
          0.23802127722852184,
          0.15854661437710832,
          0.2068922408792216,
          0.19212948778838904,
          0.18133716633756972,
          0.18719186049980552,
          0.2397469973474579,
          0.1335168413064427,
          0.18405711205336497,
          0.24632208371026806,
          0.15207986304747487,
          0.20374763563350262,
          0.2185284477919183,
          0.11188669666508384,
          0.1677644327054242,
          0.1746439287384669,
          0.18276193756795076,
          0.2194416807347347,
          0.2023492058722104,
          0.1832656064556283,
          0.16500805926159334,
          0.1945410250953081,
          0.18663059023472298,
          0.20453938408370595,
          0.22393018286964525,
          0.22780522860591065,
          0.18430094139834052,
          0.18626805813229272,
          0.20602857428121885,
          0.20566464040132368,
          0.22334835162602928,
          0.23898446138891694,
          0.18228625310232285,
          0.16072095546457713,
          0.17398203972721993,
          0.23395346311030304,
          0.2402821368098886,
          0.17500448581288722,
          0.20126360418972253,
          0.16927702837782507,
          0.23396682481648937,
          0.17926961838617717,
          0.18209354082251275,
          0.22429951985735233,
          0.18899728802080026,
          0.21130088346864334,
          0.2384918897062907,
          0.17614405555972854,
          0.18335958778868078,
          0.22298075907078363,
          0.19547684559252276,
          0.14446252399761933,
          0.21209425741649018,
          0.15382700332473906,
          0.17451902618879167,
          0.16967550093579017,
          0.19658066683471212,
          0.1739771236955691,
          0.23251213783339542,
          0.17711572959856575,
          0.2381384561284068,
          0.22363042834306163,
          0.20901137311416315,
          0.23013442415500818,
          0.2106192409405051,
          0.24717888736294258,
          0.15960610512137857,
          0.21822216376943623,
          0.1347753565476057,
          0.2134808967581674,
          0.20998983408535515,
          0.19350136212865288,
          0.22802361789266778,
          0.22025405498183,
          0.17840333866402033,
          0.13517697630104536,
          0.22712603600574843,
          0.20913469475548038,
          0.17943771657353044,
          0.18431273211129245,
          0.19823800137336345,
          0.21402350707765133,
          0.16967821079326154,
          0.237215325407355,
          0.1756246328124686,
          0.19943688882818733,
          0.18323776030093258,
          0.193132610287913,
          0.19876136498812594,
          0.19241318498798535,
          0.1760566942479014,
          0.1822097257324519,
          0.16713863865202308,
          0.22276812338104002,
          0.20773005675824574,
          0.2489822087944388,
          0.2071383572641331,
          0.18223932711740734,
          0.20285390307093704,
          0.20470266550609031,
          0.1752963511463368,
          0.23509929270237864,
          0.20342222006178337,
          0.19481722612472568,
          0.15901590137610894,
          0.16979848150482751,
          0.2062870517578013,
          0.23563950556345908,
          0.23220456252682556,
          0.22942264625893233,
          0.17896722682789534,
          0.1802649317677942,
          0.19873566440691157,
          0.18062749319742583,
          0.17631782261707132,
          0.2087862979585557,
          0.19918092000433246,
          0.16579782333080884,
          0.1846125922614751,
          0.20361044132068,
          0.17703784672498332,
          0.16009567465880492,
          0.12450351854652295,
          0.2321530819918277,
          0.24344477729886135,
          0.17896145465857033,
          0.21297401130473534,
          0.20956254268798333,
          0.15207797054363761,
          0.233785355719025,
          0.21878299282604452,
          0.24128973542183926,
          0.18731355225432794,
          0.18291640283650942,
          0.187387069613445,
          0.20209324493849226,
          0.24896233264341566,
          0.20504888336918686,
          0.1819531494567603,
          0.19597642774630422,
          0.1684408977364611,
          0.19804733336601008,
          0.21193189671600376,
          0.1797934546780842,
          0.16251307986753688,
          0.20879892513418746,
          0.1872841303869422,
          0.1989858762011562,
          0.18332209220145773,
          0.21698895888286704,
          0.21005605893391072,
          0.19342025460543402,
          0.22933122428880212,
          0.23187808407784616,
          0.13841226170238582,
          0.15026574100611256,
          0.20740744389320945,
          0.21018435682409706,
          0.15785092965342132,
          0.1622829062486715,
          0.11628732491768845,
          0.16025233945495887,
          0.2238960615803588,
          0.17270299261403715,
          0.20204322095547728,
          0.14561960206133875,
          0.21796879638892339,
          0.18597101794373236,
          0.22392182135661307,
          0.23333591127890935,
          0.2204129055513953,
          0.16367902748437033,
          0.21206216514430576,
          0.17853505818339807,
          0.16345131738079255,
          0.18311234769206905,
          0.1388589474616083,
          0.18122597029102988,
          0.22976412945660415,
          0.227473186975739,
          0.24518587879827178,
          0.18585733643367813,
          0.19200875871897638,
          0.19710827175245804,
          0.19372265044775855,
          0.14488320780380587,
          0.22952594721860872,
          0.19822359940500303,
          0.24227833408059604,
          0.1964534545185613,
          0.19289950268131692,
          0.16968976308852027,
          0.14837635989803244,
          0.19459118016837654,
          0.1891090436877006,
          0.17096034315139702,
          0.1432058768316661,
          0.22005398951159855,
          0.21279520273033498,
          0.15908990905221781,
          0.22145513426580207,
          0.22261817610993148,
          0.24241557591373805,
          0.18709432601487544,
          0.19627468763451061,
          0.17110322923551807,
          0.18869825265194923,
          0.20248007877608676,
          0.2522865130671862,
          0.1602392591481385,
          0.2326154640816814,
          0.18816093650996313,
          0.19353178370364957,
          0.16751758669621952,
          0.18492596332805503,
          0.1820808739053899,
          0.1662687131461889,
          0.18855381741300709,
          0.21143515528147497,
          0.24136839443790695,
          0.2385662576130463,
          0.21225330903422246,
          0.18430817494909532,
          0.22463142599398797,
          0.18249974770259553,
          0.1888739657779368,
          0.16314538076456725,
          0.2064683932269672,
          0.2159386385239518,
          0.16574911222894267,
          0.23984293536537532,
          0.22451735582793791,
          0.23320439452835068,
          0.20875921239650352,
          0.20390836178217456,
          0.18489426576962154,
          0.1688343972692503,
          0.21192252875904652,
          0.1698092333771018,
          0.13510896620737337,
          0.16325604090011542,
          0.17162247253105617,
          0.13062877056956415,
          0.16412483057121535,
          0.22106168050650082,
          0.2384422234507563,
          0.20827733767933876,
          0.19945360334364728,
          0.19718505073192183,
          0.12389063874011917,
          0.23527192005195177,
          0.17012005869883176,
          0.2369139472259192,
          0.19468644369652882,
          0.18593221478335922,
          0.14956462324023337,
          0.21622257294057098,
          0.17198625088978342,
          0.23030632330966105,
          0.18782453202341481,
          0.17916551797494,
          0.20565480999191732,
          0.18227503407112247,
          0.14533984647344508,
          0.2071272668912727,
          0.17350078022210672,
          0.1678659127646582,
          0.21614682665621207,
          0.23961244366020182,
          0.16911280445516946,
          0.19975377183635545,
          0.19160973236413134,
          0.1722418930484225,
          0.24404681994738428,
          0.19397760487084859,
          0.20168959231928738,
          0.19584392919366275,
          0.20425740136871312,
          0.19670124183580573,
          0.20044386170539966,
          0.1802958100475416,
          0.20734925870644316,
          0.17262920670268259,
          0.21444369675384742,
          0.20533696201856602,
          0.20971149107001644,
          0.21772971618798656,
          0.22220297083032892,
          0.23081081104910273,
          0.20412436216667898,
          0.1634657991969237,
          0.22922229416927692,
          0.18006553309946113,
          0.10221263346600573,
          0.20709856725776876,
          0.19291921081343097,
          0.18866382617581712,
          0.19458954339145884,
          0.19939400219216988,
          0.20926380024843763,
          0.17391500649575622,
          0.18647212160525906,
          0.17039086971750908,
          0.19479300244512182,
          0.2110722796954712,
          0.20435923216240512,
          0.18270205601405404,
          0.23581714014874022,
          0.21015813659684301,
          0.16234346894004648,
          0.1824275160157316,
          0.14128552961908883,
          0.20895190184969284,
          0.17503390337302124,
          0.22076430852931556,
          0.18946926258307015,
          0.2052289068142454,
          0.17958859727903673,
          0.1989395152846838,
          0.20841926171489736,
          0.15491928150981324,
          0.1899922509677961,
          0.15770705187012374,
          0.21682207149183175,
          0.17252713102063605,
          0.20989304066197773,
          0.21536309073662124,
          0.14776331572026982,
          0.18166276255477923,
          0.22099026374841166,
          0.2233901007363285,
          0.20328733084656259,
          0.19607057407358053,
          0.16641926964995718,
          0.20153527347295683,
          0.2159974824846391,
          0.2266412387231098,
          0.24189951877706478,
          0.2367639787472939,
          0.1675649114821561,
          0.254175201440573,
          0.23309317913888902,
          0.21757472709984144,
          0.1971079751231083,
          0.22342218829284138,
          0.20124547873886464,
          0.19767883357636593,
          0.2033501761605322,
          0.19236418379596626,
          0.23423776128760695,
          0.23668204830214734,
          0.18661471911033103,
          0.18487239117684712,
          0.17456428659188478,
          0.19744799646614952,
          0.1678570491450175,
          0.22312878017787244,
          0.17120747884226575,
          0.1772840086574163,
          0.17140018320364112,
          0.20572863133647692,
          0.21157541618198203,
          0.19702512210576617,
          0.18025754009019376,
          0.18663992116624784,
          0.19284806786229078,
          0.18397678463609587,
          0.21421698292295238,
          0.17322748923032052,
          0.24293082173154665,
          0.17126029810572793,
          0.18579152317624917,
          0.20193831664189124,
          0.17819745147617383,
          0.19116124376048085,
          0.1614595903816162,
          0.18211610846336165,
          0.17203077105660408,
          0.22730349438051964,
          0.19945613510198235,
          0.21374590187297052,
          0.20200100712280633,
          0.23261626487705728,
          0.15107488784368292,
          0.16655361719508824,
          0.18523388421038497,
          0.18448929635910868,
          0.21421706240636054,
          0.22756872974112372,
          0.2004707682054107,
          0.19023688829596452,
          0.19556504926643892,
          0.21270517323300306,
          0.16134688336144853,
          0.18974453563146104,
          0.19554981481192707,
          0.19732792578986746,
          0.1334761360345923,
          0.20680276035040615,
          0.1736361884314243,
          0.22497134066157343,
          0.210530355512339,
          0.2029523520340938,
          0.17743054060455934,
          0.1960876578842248,
          0.21779928751968186,
          0.16594392282491455,
          0.20880210435842858,
          0.14527278360454424,
          0.19841082697043108,
          0.19694792801578656,
          0.20528556122166403,
          0.20494419892577811,
          0.16556706630864315,
          0.18097038797205348,
          0.20481465370620267,
          0.17123970617159215,
          0.2110208499093516,
          0.16399630616106517,
          0.2202086806886645,
          0.2217338651199707,
          0.23328205051662132,
          0.2205241473427408,
          0.22343348351055997,
          0.2007691893841318,
          0.19478860286456834,
          0.21508680847056136,
          0.177616016872062,
          0.1941002695934605,
          0.218287178487016,
          0.17661268254087648,
          0.1785221340994167,
          0.14310101600372177,
          0.19928336093623417,
          0.19828562029303068,
          0.18778287005461214,
          0.14662647007003862,
          0.19589908991411584,
          0.14911920014989377,
          0.19957290940605585,
          0.20077295445341678,
          0.1773362366294694,
          0.2036515425774535,
          0.21223618411794912,
          0.20297881404085633,
          0.2195978638010836,
          0.2389501478188412,
          0.2052717635586648,
          0.20666838606593974,
          0.21734026963369402,
          0.18660328428310274,
          0.19579852671059297,
          0.22954165855741315,
          0.19241721650780513,
          0.16003122828807584,
          0.1934048187733304,
          0.21484075176596082,
          0.20040869210787898,
          0.23078806837719612,
          0.180294994090522,
          0.19346878345821786,
          0.1781974412006096,
          0.20718648781400553,
          0.18405925613976315,
          0.20464383973028621,
          0.20328411476002914,
          0.2535789203342497,
          0.2070746751409651,
          0.20211165069188647,
          0.2549271244833101,
          0.1834550647770621,
          0.21161586561633403,
          0.1735559434870931,
          0.21835267764659252,
          0.18678253308391457,
          0.20326024161920359,
          0.1982348127155188,
          0.2002991208707245,
          0.16543538483420392,
          0.20117182320826782,
          0.14082193867590193,
          0.253453140825861,
          0.16758737335294632,
          0.1769324099586327,
          0.19304279972606198,
          0.18402897276988642,
          0.18454767920808948,
          0.1706543048468869,
          0.18019634482448266,
          0.18170676315180137,
          0.1846620675077763,
          0.21883468893580452,
          0.15089355959011455,
          0.20905116392846787,
          0.18900213150632572,
          0.21494447654457546,
          0.23095223004587048,
          0.20601656467449203,
          0.184964752923544,
          0.21578620375579158,
          0.2347863006579741,
          0.23985740198629504,
          0.18543485074455934,
          0.20632821160910061,
          0.2234932234193369,
          0.20963444187327362,
          0.19268740268393647,
          0.18324536044771308,
          0.230407656953786,
          0.1811389466237778,
          0.225883416359514,
          0.17638265407510048,
          0.22660016650139303,
          0.175777703208569,
          0.22915308430885373,
          0.20374228760046667,
          0.22480072768929615,
          0.14872172488783733,
          0.24023169933175154,
          0.2141603257808214,
          0.20408876650970145,
          0.21890141216217923,
          0.19617915772832867,
          0.184124029217031,
          0.20870166404631985,
          0.24096198961805784,
          0.19512284071966435,
          0.18160171134303543,
          0.2192350997529169,
          0.226041014825661,
          0.17787365286618945,
          0.22984454152943243,
          0.23164006060536976,
          0.18252602297779844,
          0.2104474374402311,
          0.1653256942919467,
          0.20599713361793456,
          0.19018290095078103,
          0.15294911536240924,
          0.19458098797508452,
          0.12199973191033309,
          0.13546045981333474,
          0.19280999373886215,
          0.18595050194183851,
          0.1845971064150136,
          0.17771008575765132,
          0.13744137906595452,
          0.21879896512880098,
          0.24794837871126593,
          0.2244248594114202,
          0.19651869476018827,
          0.19658906004734095,
          0.23294495705367868,
          0.21276643757043448,
          0.1726736769452437,
          0.22136746927868262,
          0.2728868304217294,
          0.15679015945151006,
          0.20182930599254065,
          0.1887077453479815,
          0.17048366687783395,
          0.2028589897788882,
          0.1894550514093933,
          0.24205459123837694,
          0.15457727179243877,
          0.15247191555479958,
          0.20296834699622027,
          0.2048084192854798,
          0.17916177555044474,
          0.21116451318583246,
          0.1824217253602697,
          0.19300676664717853,
          0.2112554454689009,
          0.2176159339039706,
          0.20097203850356873,
          0.1526542425164041,
          0.22415005509609232,
          0.18947391853261958,
          0.16254035944705134,
          0.18903477776863414,
          0.19190050656971938,
          0.17397222304734627,
          0.1813906284612188,
          0.2165249952144918,
          0.21991731217231344,
          0.16915268251521606,
          0.16204961330199968,
          0.22569173988312793,
          0.18507301522292816,
          0.20954847657306552,
          0.22226054498337033,
          0.1964083681832344,
          0.15139208529208745,
          0.19818919204631869,
          0.22564632836531773,
          0.2230210889783354,
          0.2282762154717291,
          0.19399843746998166,
          0.17967532551004764,
          0.18675158966873584,
          0.19313265617669992,
          0.17784651216417183,
          0.2323663432513811,
          0.17951227679572773,
          0.20105504432372162,
          0.21172215611219758,
          0.1340272485310074,
          0.22230459014037554,
          0.22601485100390634,
          0.16071337465600502,
          0.1999320102591333,
          0.14385374137731094,
          0.15984830122753246,
          0.18753014155344191,
          0.2344899208928591,
          0.20377603807775782,
          0.14867149574797536,
          0.19917035505177708,
          0.2065173952476689,
          0.2659089585870811,
          0.20089147434561697,
          0.18009962681037772,
          0.22104888169714634,
          0.1997461893415359,
          0.22248997555724015,
          0.21627796948404268,
          0.20801577371711338,
          0.2108844519113363,
          0.21485232265111587,
          0.15373627069579035,
          0.16077203101353166,
          0.19791679908241452,
          0.21491194891873622,
          0.1956673037773715,
          0.18988069577183858,
          0.19192561977164915,
          0.20740929803670588,
          0.19592396471619528,
          0.1811866564059886,
          0.18748793972717356,
          0.1590723268219245,
          0.2147187588772258,
          0.18587937509325803,
          0.231485200643751,
          0.19035512658204273,
          0.21081448238980907,
          0.18083849226396123,
          0.16798140388078822,
          0.16689629731133873,
          0.2294370431728208,
          0.21753977052291507,
          0.2106993759162367,
          0.16934464927073353,
          0.17884604324175782,
          0.15986542691443997,
          0.22780993461859228,
          0.20575357033841563,
          0.224919139411551,
          0.237308189477895,
          0.18687800977898975,
          0.20038987194212102,
          0.20973137075104428,
          0.20246445998943227,
          0.17371550400369803,
          0.21243972390430624,
          0.19432682843762505,
          0.17316191172491122,
          0.16693925989892022,
          0.20407281706288627,
          0.18895754540312035,
          0.13883062052088435,
          0.20625135058019486,
          0.22070338504960782,
          0.18493930788966662,
          0.14982239166895656,
          0.2569838438433405,
          0.1862220751724984,
          0.21701899601510202,
          0.20168493660695488,
          0.2390261512280406,
          0.20571537565145354,
          0.16386770944295426,
          0.19635743048492774,
          0.16570853279760578,
          0.21949668197154493,
          0.23612358522773388,
          0.1693997628809834,
          0.20417458927622845,
          0.1381042924813856,
          0.2056957251756971,
          0.1912008513511865,
          0.23660992558873878,
          0.17506579346062712,
          0.22745041452292353,
          0.17756161848330745,
          0.1821966095893935,
          0.1901001005919904,
          0.18303591376607475,
          0.22089499085236539,
          0.17258013183570525,
          0.19250893024190235,
          0.20820922551682364,
          0.18974375636518373,
          0.16759931489696236,
          0.1844138128931509,
          0.17913084033035934,
          0.17155721937772447,
          0.224717179493966,
          0.18178698197433715,
          0.1924816487045686,
          0.21847061489693348,
          0.17907530269480543,
          0.18220712874261402,
          0.20487121840368966,
          0.20346936503040897,
          0.1931809986727143,
          0.2044751857954842,
          0.17541547575783564,
          0.17861803452001812,
          0.17162971758884624,
          0.2311740646179207,
          0.20056725062464528,
          0.1647308388319451,
          0.24058918599620613,
          0.20897912133764712,
          0.19953573536795582,
          0.18732473159360236,
          0.19398028591364527,
          0.21001225698908083,
          0.1626190696591212,
          0.1865000770727498,
          0.19343275908047547,
          0.16403885656028047,
          0.17766222967834458,
          0.20668857968980478,
          0.19417101478229123,
          0.24237782055092255,
          0.19263974222876337,
          0.174545830670704,
          0.2024882080067739,
          0.23077315791139594,
          0.1816558205381561,
          0.20687036255078914,
          0.19929563708491818,
          0.17081303615538748,
          0.17884621483243818,
          0.20400770968049894,
          0.18961271418885464,
          0.17996908987733962,
          0.1963214507921776,
          0.2066790436005975,
          0.19902819521680032,
          0.16409308889407542,
          0.22572400128913306,
          0.2406488688878896,
          0.17211713530760334,
          0.16329994969430153,
          0.14603511394495508,
          0.18652594635438463,
          0.20270383539020126,
          0.2065872780535119,
          0.2288144561966627,
          0.2036692375126354,
          0.21698744588235605,
          0.2108750575809751,
          0.1914383349659259,
          0.17970402755898604,
          0.24573208670311714,
          0.23637896889342158,
          0.2025522245218468,
          0.16978976927536113,
          0.19323585545634037,
          0.16263488372563162,
          0.1948395747187594,
          0.17743185222686308,
          0.1644252876335083,
          0.22263039104699514,
          0.19121090788080677,
          0.18389488949357455,
          0.23130888366553315,
          0.20259096562684303,
          0.22631060485987003,
          0.21935293986943238,
          0.24038417553537408,
          0.16799546708741453,
          0.22631417626744071,
          0.2071758318395603,
          0.25565654011479333,
          0.177438684187122,
          0.13289540756479984,
          0.17869231756100518,
          0.19557450901124293,
          0.22462436977078568,
          0.21198374966065003,
          0.19470525807894654,
          0.24798672260878837,
          0.208804484514718,
          0.21603097057298268,
          0.2109977658415614,
          0.20046483002915144,
          0.1761156835910128,
          0.20537779595597225,
          0.18898178801919757,
          0.19856585926369713,
          0.19734157958041323,
          0.22085058717990025,
          0.22691715688281736,
          0.20359625247667706,
          0.212389275380451,
          0.201912750673837,
          0.16091046560585057,
          0.24862554050374971,
          0.1552709991347439,
          0.20906728412489262,
          0.19459322863504586,
          0.18431861753915402,
          0.17428715929165778,
          0.2205731011283919,
          0.1877236434851633,
          0.18697082745007515,
          0.17276290829386345,
          0.16764158699163145,
          0.19499081186974326,
          0.2487583598239524,
          0.2414562567623792,
          0.21009394351605695,
          0.1700882676973712,
          0.20170663456694962,
          0.2120864145528197,
          0.1905069041034202,
          0.1855890803723947,
          0.18337319360999205,
          0.19694641476198016,
          0.14699863603921057,
          0.21231478389512343,
          0.2421698311628785,
          0.19820476987614427,
          0.1902146791087037,
          0.20481892504432847,
          0.21692104431173773,
          0.19955112770224692,
          0.18828339610720382,
          0.20404052239342169,
          0.21016945192989403,
          0.1487997890914799,
          0.18365814321526533,
          0.12818618817352845,
          0.1822276083707505,
          0.21925488481156008,
          0.15801229743343562,
          0.18978352811816765,
          0.20451299159669803,
          0.19145832519869724,
          0.18832006473846843,
          0.1917859890109061,
          0.21289081090383374,
          0.22251684474978553,
          0.1835656491495064,
          0.2275000603386285,
          0.20791494268934946,
          0.1746595730361327,
          0.14817934599977137,
          0.12288873188800634,
          0.15837402101126777,
          0.19010764629696295,
          0.18055260791131286,
          0.16981750343991456,
          0.17642175976622976,
          0.19201518061121772,
          0.17803628869000387,
          0.1973444905510722,
          0.17495855596168616,
          0.1947747703930055,
          0.2032128993754243,
          0.18254302495000485,
          0.1798895770785806,
          0.20071327569275763,
          0.21774871925848563,
          0.15868725168858092,
          0.16709181715296578,
          0.19412427871462418,
          0.23395787587247777,
          0.1529912256779162,
          0.2105970562712961,
          0.24219394747684939,
          0.211060196313389,
          0.1986999752277132,
          0.2182957945505838,
          0.16824465496698704,
          0.1818973432924289,
          0.18770296802013797,
          0.17745364724298895,
          0.20626076380580982,
          0.2070348863119932,
          0.19864055284752133,
          0.2088711564429713,
          0.2119475295076925,
          0.20804687368398744,
          0.183479706046389,
          0.18410966528019596,
          0.17918485677429152,
          0.21389587202635038,
          0.2116423808812075,
          0.20281287471362391,
          0.18337683968479446,
          0.20952064518611388,
          0.24641081088597797,
          0.17390516893623018,
          0.23886931117783577,
          0.15399866878816781,
          0.20563449969668368,
          0.21753196907837874,
          0.20619430933940083,
          0.21195944866320882,
          0.17133470611266846,
          0.18334352420327849,
          0.201813704444329,
          0.22248700948713415,
          0.2004121766998388,
          0.19274467400258086,
          0.22980458228222678,
          0.20450483037554779,
          0.1635881762106624,
          0.1926150382666407,
          0.22628864535888257,
          0.2006297551603248,
          0.21641744997525686,
          0.18504336747471553,
          0.18354530194482457,
          0.14602370623576655,
          0.17518272273474497,
          0.18592478309258925,
          0.17482555706367486,
          0.19764076911155767,
          0.20464364362717438,
          0.17524389882436836,
          0.158314316563708,
          0.17343498444049496,
          0.2011009838486178,
          0.19342482953177817,
          0.16755168915703694,
          0.22804231167961495,
          0.1898323544046391,
          0.18549779821845913,
          0.19341090805026803,
          0.22541201410898937,
          0.1893285851731932,
          0.16548803310005478,
          0.2222408226659875,
          0.18343963190328413,
          0.1486497273731682,
          0.21904069934831738,
          0.20965651789492548,
          0.2148344085932457,
          0.227720501567827,
          0.19496109768014228,
          0.21903934284474844,
          0.18423521257812753,
          0.18444818977673536,
          0.2201636549229911,
          0.21264018502630994,
          0.16586642492639603,
          0.20945253645600143,
          0.20224055480753075,
          0.23173708304087362,
          0.18954404847554104,
          0.21471674547287756,
          0.1535176337346382,
          0.2239194119625548,
          0.2214833440420065,
          0.17821188354436024,
          0.19211721674249888,
          0.16380547315140082,
          0.185704581693387,
          0.21774839424672865,
          0.20638068734663567,
          0.250983057029878,
          0.1912065816553445,
          0.20278295182729345,
          0.1812413009980276,
          0.1529428718855855,
          0.21720382869716304,
          0.19056722300559492,
          0.22611307762616045,
          0.1803499533079318,
          0.23321972969064214,
          0.1669266140377682,
          0.19999503431084312,
          0.2018080332286512,
          0.21066169030593676,
          0.1643267382619053,
          0.1713016556979836,
          0.1958284172385147,
          0.18515588580505515,
          0.17944963639106323,
          0.1601052251732336,
          0.22121218625696693,
          0.20107355487999373,
          0.19740118332775156,
          0.18846894574290815,
          0.15129138317430865,
          0.21066332389472106,
          0.18985661965610212,
          0.20354402625481674,
          0.16040539070274099,
          0.20952102675848516,
          0.25117008351690595,
          0.2106678862047474,
          0.2230529880256581,
          0.16782143553880574,
          0.20457907436117972,
          0.18798186153661803,
          0.218285973998072,
          0.19938610630897494,
          0.19856318351510144,
          0.23719944691493064,
          0.2475676201129731,
          0.1730318575395099,
          0.16896887358708604,
          0.20184277267125045,
          0.21264357752858987,
          0.1866222598429513,
          0.2071462502758553,
          0.18092303036196153,
          0.2041894675507996,
          0.20822364006208308,
          0.1836210198195696,
          0.224096099051932,
          0.2171357287425426,
          0.18916312727677984,
          0.20682587710893752,
          0.1899689599871242,
          0.18983377786005945,
          0.19011782483424286,
          0.19058197492797846,
          0.1574571146574274,
          0.2237473693779307,
          0.20575163123694565,
          0.26590637860356175,
          0.1970420575216377,
          0.19914866714241033,
          0.17618734016770604,
          0.17821585886859137,
          0.20142615925177443,
          0.24896325552195198,
          0.21398947550287484,
          0.2057518785712488,
          0.232882333641428,
          0.15408998394979992,
          0.23993471435696448,
          0.1801008689774455,
          0.18215394353582431,
          0.14986296945674948,
          0.2245035414318995,
          0.16258655290688154,
          0.2014590947067739,
          0.19309168867040588,
          0.11095346641904336,
          0.24523014639843493,
          0.1262366677348622,
          0.12506645497747462,
          0.18819282296754142,
          0.18709571281556436,
          0.21622339583671674,
          0.22811963057025686,
          0.18575138955616466,
          0.16776954203545963,
          0.16006663857412495,
          0.23538173134779575,
          0.19366409432546763,
          0.15440995897882176,
          0.2526680311716717,
          0.15177265340457424,
          0.2108538187078791,
          0.21178563165952088,
          0.20678348441971112,
          0.17433022345626867,
          0.20607941426479287,
          0.22905203734833057,
          0.17916364576811633,
          0.15189257133391854,
          0.1987602975839287,
          0.24415060270221783,
          0.1785296965014065,
          0.19306233753284605,
          0.22433587282425074,
          0.22664523598436842,
          0.25961837002231947,
          0.14579140908267463,
          0.21376716216437636,
          0.17152026736321604,
          0.1787333751641068,
          0.232012547054567,
          0.19589338821644767,
          0.202326468035882,
          0.16390259283278427,
          0.19766885355607053,
          0.17341890400233625,
          0.1782467897720598,
          0.21316128028028658,
          0.20338890951000826,
          0.1926951622901371,
          0.17970030316013696,
          0.18067883183456976,
          0.18728926328084733,
          0.2260568649755087,
          0.188327565225589,
          0.268777480877228,
          0.20639491189720235,
          0.23145352449702827,
          0.21610300029890125,
          0.19378628586116672,
          0.14778548119015036,
          0.23172279572731108,
          0.19816111242624806,
          0.1651875009375519,
          0.18010154365002026,
          0.22140603005868198,
          0.19473600935772362,
          0.18996102291848968,
          0.18967352196992035,
          0.17116260880950276,
          0.2211125547523555,
          0.20749956395466373,
          0.2414665522289438,
          0.13370174758095094,
          0.18628555670285338,
          0.23849631471925362,
          0.1628653262019247,
          0.20697316428476728,
          0.21049512039043092,
          0.2101234674635153,
          0.22888186111318315,
          0.16436382415149686,
          0.25764417611580653,
          0.18768414492727006,
          0.13579120758074054,
          0.16983307694412633,
          0.2410742336192677,
          0.1900408105984144,
          0.23640329421295744,
          0.1900037767650266,
          0.16201329344684617,
          0.22932681537029234,
          0.1446422634644228,
          0.21644888114481203,
          0.1926619286143822,
          0.21902431054935528,
          0.15923326983552255,
          0.19195645927907168,
          0.21316401228118034,
          0.1648038300799191,
          0.1908542457295031,
          0.14104718933182844,
          0.192941064962052,
          0.1810386207258642,
          0.20781572028457662,
          0.2034046352442793,
          0.2167943925899251,
          0.19281760623353614,
          0.26515061890517605,
          0.18470490273900916,
          0.19759340057753275,
          0.18905904761966988,
          0.21750545542270708,
          0.16689986144828692,
          0.205911507363482,
          0.16968703214618516,
          0.16183657496636397,
          0.22277510977874979,
          0.20606429835299686,
          0.20008643037667284,
          0.15858621108106755,
          0.17175106339452928,
          0.16017082262499163,
          0.2166479267222682,
          0.22191702929686888,
          0.18176089503498172,
          0.2171682150078057,
          0.15128021758257096,
          0.19972560780558515,
          0.1675484258692006,
          0.2457547548616433,
          0.20341346808800836,
          0.17706515311351792,
          0.22104002205754633,
          0.18149185906175036,
          0.19724044011689115,
          0.16119884646717186,
          0.16423005032233307,
          0.19303460972939865,
          0.1801316925471271,
          0.1934717959090876,
          0.2226187224305413,
          0.196906938565044,
          0.20093498318930275,
          0.20441592460294017,
          0.16590296335622146,
          0.21583985136056344,
          0.1783079100507192,
          0.1890251588357981,
          0.20491562223457832,
          0.17074104179204178,
          0.19598064595928708,
          0.2142331454183399,
          0.1876964780098282,
          0.17117565199685553,
          0.1562021810834608,
          0.22342280147879884,
          0.16132850866874437,
          0.15977131194720348,
          0.207857340938678,
          0.24014748737011682,
          0.16052405311220497,
          0.19805717964201444,
          0.2037016662970397,
          0.176715152707836,
          0.20112981412838282,
          0.21054288794175038,
          0.23725097566130834,
          0.1396465889932748,
          0.2143150150360849,
          0.21155629929670663,
          0.16304683809673715,
          0.24963277878385223,
          0.1820718708742139,
          0.21326961025530927,
          0.21115988458361828,
          0.1735612748144018,
          0.19341313927630466,
          0.20272539459437097,
          0.22112882011517607,
          0.17049444147396764,
          0.17541751821187435,
          0.18107818303254267,
          0.24991663960724245,
          0.22227877536653823,
          0.17733085047411035,
          0.15337297951014137,
          0.21635760449781288,
          0.18724397644121,
          0.16258256679899308,
          0.12449157781681824,
          0.20605171161906174,
          0.18889015332723533,
          0.2209889878509838,
          0.17625386778986413,
          0.1904211439955293,
          0.19714474447840272,
          0.21250132603366528,
          0.19979660483059866,
          0.13973237280981396,
          0.17852594674793693,
          0.1862308951559536,
          0.23395274643042285,
          0.1974181519640459,
          0.192885246183407,
          0.20026960365286423,
          0.15605356751188967,
          0.1558112735604975,
          0.2383565171555244,
          0.1622334246284274,
          0.19278915907444813,
          0.22331074348975888,
          0.1869731985778865,
          0.22530342147239735,
          0.14525695658172003,
          0.21611503951584865,
          0.2090964818397515,
          0.12888133530852183,
          0.19384955466269174,
          0.12809263513154664,
          0.141905130076544,
          0.2331532792716707,
          0.18969365507926034,
          0.22192231239404547,
          0.19621885380888787,
          0.1860056205063299,
          0.19423486350060207,
          0.20850203525713387,
          0.20768222469527287,
          0.19447037160213348,
          0.20117068178543313,
          0.21778987391482243,
          0.13884299485015322,
          0.18063300421806405,
          0.22631966315817473,
          0.22720213788336494,
          0.25928498242985426,
          0.16957218564707088,
          0.219980655192173,
          0.2005619911109786,
          0.2168878706072531,
          0.20664375271821447,
          0.2262506685672794,
          0.1801742211509216,
          0.1724203628840606,
          0.20411375679712118,
          0.17470982301438184,
          0.20201517091237853,
          0.20260017691865284,
          0.19958596132603523,
          0.20271847442943305,
          0.21362086623105048,
          0.2450472736172913,
          0.18903303119204667,
          0.22502249695561233,
          0.2384163951237503,
          0.1856608097600585,
          0.20430234957381152,
          0.21083860557285417,
          0.18998349449414398,
          0.1758620110911422,
          0.15090279516920926,
          0.1891089135291232,
          0.22336837640743348,
          0.22208853415738505,
          0.2044844065984173,
          0.22500084697375644,
          0.20336741345062,
          0.20497965974404625,
          0.2207988410506663,
          0.25928972444924675,
          0.18129908956618232,
          0.15905214502521156,
          0.17885417506622167,
          0.188403698080252,
          0.16686467638415778,
          0.18400876578320208,
          0.15948919830280536,
          0.19646717290188553,
          0.22015300255170933,
          0.20363343603533396,
          0.2161719780936463,
          0.16385005052456283,
          0.19004204688340423,
          0.21033383048729581,
          0.2231403606421754,
          0.20112760361988546,
          0.19401588951522022,
          0.22951640268983503,
          0.21732723395768633,
          0.1697881687061884,
          0.15545546215073383,
          0.22423939792728906,
          0.25203977448276915,
          0.14537144474921204,
          0.19072941726491566,
          0.20963599827801527,
          0.18982973734695766,
          0.22243348324240728,
          0.22030029489691427,
          0.15921228346097815,
          0.22674510628577285,
          0.21553347303459672,
          0.20712912094434388,
          0.20159818257634138,
          0.17528967954745192,
          0.21290274207564944,
          0.22354275421204872,
          0.17409743510070202,
          0.20388557217776757,
          0.18230431067215194,
          0.22965906970941188,
          0.15445735137951105,
          0.18120896831153163,
          0.16495507796521214,
          0.16496422835830588,
          0.17737829286413423,
          0.19652962711433394,
          0.18936846700357088,
          0.2091104962493677,
          0.22014399771783655,
          0.18740630642341805,
          0.1782214534325304,
          0.22450920193142337,
          0.1768506843951841,
          0.20431663228771654,
          0.17828657012612026,
          0.16722754101811418,
          0.24766445125569542,
          0.2267493161750214,
          0.16264005592606445,
          0.16921675130336636,
          0.20135559969380093,
          0.19050121952195545,
          0.17464229618232952,
          0.22379244097991793,
          0.16277893316351472,
          0.0991172562210598,
          0.1615746574136817,
          0.19621355418145442,
          0.2158269954539569,
          0.19588883728615417,
          0.24018721143324828,
          0.14578708990225958,
          0.20552102228005842,
          0.20653661589233369,
          0.17244830264459246,
          0.24081394878674076,
          0.22432711628318064,
          0.22559692387900693,
          0.15597976223927096,
          0.20479876232620922,
          0.20257708628137341,
          0.21123165115429818,
          0.17219406309800755,
          0.19849437752657018,
          0.19032903268679743,
          0.22165717386296102,
          0.2603505414110481,
          0.18835596402876642,
          0.19705909714169165,
          0.1986828785110045,
          0.16720204242909392,
          0.18355236639538833,
          0.15147725162675615,
          0.20208160605285644,
          0.2386380141139944,
          0.14688625712900322,
          0.1978633451382772,
          0.20171370207079165,
          0.21307994976050199,
          0.17240835706264068,
          0.16190948930849033,
          0.188619446411648,
          0.1720264067340886,
          0.18732657064255584,
          0.2556527458292541,
          0.19855143744207196,
          0.2628719061767308,
          0.22640554392806117,
          0.20956284639102946,
          0.20361669252446174,
          0.22825165975291176,
          0.20998866847159106,
          0.23298478282210464,
          0.17639505828745355,
          0.16165465086968628,
          0.19450969306562044,
          0.19148947820656798,
          0.15024295716696204,
          0.17930833579112374,
          0.16956677997711886,
          0.18064253953329817,
          0.1812636013722301,
          0.2003653457685625,
          0.25057245174875653,
          0.22647371817668652,
          0.1854493508442771,
          0.22608270821880994,
          0.18985458363110433,
          0.2106306939035027,
          0.13447975209444063,
          0.20171401126926636,
          0.21010624072083967,
          0.20087625400745163,
          0.21230887513397406,
          0.18706665511194548,
          0.17628089876678563,
          0.20018528744673056,
          0.17910232975043294,
          0.20539878372403303,
          0.18391096731064432,
          0.1633643848816,
          0.2123509885779947,
          0.1780541474254195,
          0.2395010296072051,
          0.22654291393872106,
          0.21298809265252788,
          0.20145136259291685,
          0.23410070543830205,
          0.15280042276432262,
          0.2251369773739473,
          0.20013634563440602,
          0.18362679549580457,
          0.18570405595830103,
          0.15836925494871268,
          0.22044680592813454,
          0.205833403958534,
          0.24111875203821911,
          0.20495670112054248,
          0.15478541209918642,
          0.20967854741549738,
          0.1951912113288724,
          0.20670320122132807,
          0.19087557273854883,
          0.19498916636718466,
          0.21034665346647213,
          0.22022729587663795,
          0.1963382132834884,
          0.17276753474454337,
          0.15727803364766327,
          0.21641432576383157,
          0.21495113293601745,
          0.19483929779058046,
          0.18939266333885407,
          0.18569793740127388,
          0.2574918435732006,
          0.18741707529711857,
          0.13561506043903546,
          0.23002523134153005,
          0.20931993933244042,
          0.1998405722799483,
          0.22861581323847022,
          0.2094726728077574,
          0.21583706733056077,
          0.20961782516468935,
          0.20240639173803732,
          0.20190939351188422,
          0.2278774321151775,
          0.16683593890100137,
          0.18510689201099895,
          0.21179539102230177,
          0.20465854224553476,
          0.23541993022594446,
          0.17152335460474671,
          0.22248639467345277,
          0.21067853054879765,
          0.21958670030139998,
          0.19528325115127632,
          0.2120026574909765,
          0.22642140837999253,
          0.1912115996267732,
          0.1873377237692128,
          0.22631972100502662,
          0.19297502200223007,
          0.2599064175486028,
          0.19194812077004378,
          0.15925649174926582,
          0.17593866202952002,
          0.19968466041297714,
          0.17344915275067396,
          0.15879765623606354,
          0.25293205988085227,
          0.21650396752818582,
          0.2027143532723502,
          0.12848170257691954,
          0.18057284636131832,
          0.1782620587985315,
          0.21882933101475827,
          0.19637995307343628,
          0.13833007033082106,
          0.20409867829652753,
          0.1903000046450602,
          0.22352695265174033,
          0.18744488791605896,
          0.15499776564129555,
          0.15409167299764903,
          0.18211719440726826,
          0.1955050275704883,
          0.18980697468284494,
          0.21692027314488574,
          0.18636508909540328,
          0.22451842580000583,
          0.1889508841041881,
          0.1408005829282306,
          0.178941763444577,
          0.17854460673826314,
          0.21991443515271908,
          0.22070652899162954,
          0.26514804954582877,
          0.21195207912912392,
          0.2061512550059649,
          0.15337282063896457,
          0.24102367638457503,
          0.19345122349287033,
          0.22645150685574653,
          0.1603210247450639,
          0.16420668237363084,
          0.21107956266659017,
          0.212572125902549,
          0.2352432835842068,
          0.18022744195263232,
          0.2184641905013333,
          0.21446199972271393,
          0.2588045741002444,
          0.16371139041569857,
          0.17343276855376719,
          0.1904941387180961,
          0.1917179597736531,
          0.21390669819390296,
          0.20901587564235583,
          0.19095014365833426,
          0.18174649682134744,
          0.14627413287582863,
          0.2043589253738684,
          0.21044415602905125,
          0.16495234192544037,
          0.16387025925302795,
          0.20299023268657979,
          0.21193795556073036,
          0.21543542713621042,
          0.18848161982604358,
          0.15855071958873046,
          0.1448461641200162,
          0.2362330600681795,
          0.15007751969418617,
          0.20342583603165298,
          0.20139280445811575,
          0.15076315637796425,
          0.16417083633880672,
          0.16972964233470592,
          0.2191287128195234,
          0.24869396689657905,
          0.1886479623409434,
          0.19611637788249756,
          0.19597470953621132,
          0.1995698390746604,
          0.21420608374666994,
          0.1999816016355096,
          0.1896805603687819,
          0.16547283142419533,
          0.1991854762884351,
          0.19248319568260638,
          0.19075095602956463,
          0.1675416515933225,
          0.1459423250538817,
          0.16594849413834345,
          0.1482471606325069,
          0.18901519655580226,
          0.21943006651107652,
          0.19366872137396196,
          0.23855887663707978,
          0.1807057284718508,
          0.2093531720299249,
          0.1272898120937572,
          0.2430027092997706,
          0.19703027892729197,
          0.2096874750606118,
          0.22430052948025453,
          0.18575822902718248,
          0.18841694257089361,
          0.23352478397784743,
          0.18324636483519754,
          0.2010434935821536,
          0.18052081330259198,
          0.1446812215316844,
          0.2034862402759397,
          0.24025723486625494,
          0.23291593803939664,
          0.22054165858325797,
          0.21780256543280496,
          0.2294739412826363,
          0.2308215266512328,
          0.18259161235752094,
          0.19700807891481473,
          0.20723072077675778,
          0.2061320579234484,
          0.16906620646507833,
          0.19890955190389958,
          0.20167254062565812,
          0.22935976734390837,
          0.19861881103869983,
          0.2304302956422288,
          0.1978528717915327
         ],
         "xaxis": "x",
         "yaxis": "y"
        }
       ],
       "layout": {
        "barmode": "relative",
        "height": 250,
        "legend": {
         "tracegroupgap": 0
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "rgb(36,36,36)"
            },
            "error_y": {
             "color": "rgb(36,36,36)"
            },
            "marker": {
             "line": {
              "color": "white",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "white",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "rgb(36,36,36)",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "rgb(36,36,36)"
            },
            "baxis": {
             "endlinecolor": "rgb(36,36,36)",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "rgb(36,36,36)"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 1,
             "tickcolor": "rgb(36,36,36)",
             "ticks": "outside"
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 1,
             "tickcolor": "rgb(36,36,36)",
             "ticks": "outside"
            },
            "colorscale": [
             [
              0,
              "#440154"
             ],
             [
              0.1111111111111111,
              "#482878"
             ],
             [
              0.2222222222222222,
              "#3e4989"
             ],
             [
              0.3333333333333333,
              "#31688e"
             ],
             [
              0.4444444444444444,
              "#26828e"
             ],
             [
              0.5555555555555556,
              "#1f9e89"
             ],
             [
              0.6666666666666666,
              "#35b779"
             ],
             [
              0.7777777777777778,
              "#6ece58"
             ],
             [
              0.8888888888888888,
              "#b5de2b"
             ],
             [
              1,
              "#fde725"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 1,
             "tickcolor": "rgb(36,36,36)",
             "ticks": "outside"
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 1,
             "tickcolor": "rgb(36,36,36)",
             "ticks": "outside"
            },
            "colorscale": [
             [
              0,
              "#440154"
             ],
             [
              0.1111111111111111,
              "#482878"
             ],
             [
              0.2222222222222222,
              "#3e4989"
             ],
             [
              0.3333333333333333,
              "#31688e"
             ],
             [
              0.4444444444444444,
              "#26828e"
             ],
             [
              0.5555555555555556,
              "#1f9e89"
             ],
             [
              0.6666666666666666,
              "#35b779"
             ],
             [
              0.7777777777777778,
              "#6ece58"
             ],
             [
              0.8888888888888888,
              "#b5de2b"
             ],
             [
              1,
              "#fde725"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 1,
             "tickcolor": "rgb(36,36,36)",
             "ticks": "outside"
            },
            "colorscale": [
             [
              0,
              "#440154"
             ],
             [
              0.1111111111111111,
              "#482878"
             ],
             [
              0.2222222222222222,
              "#3e4989"
             ],
             [
              0.3333333333333333,
              "#31688e"
             ],
             [
              0.4444444444444444,
              "#26828e"
             ],
             [
              0.5555555555555556,
              "#1f9e89"
             ],
             [
              0.6666666666666666,
              "#35b779"
             ],
             [
              0.7777777777777778,
              "#6ece58"
             ],
             [
              0.8888888888888888,
              "#b5de2b"
             ],
             [
              1,
              "#fde725"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "line": {
              "color": "white",
              "width": 0.6
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 1,
             "tickcolor": "rgb(36,36,36)",
             "ticks": "outside"
            },
            "colorscale": [
             [
              0,
              "#440154"
             ],
             [
              0.1111111111111111,
              "#482878"
             ],
             [
              0.2222222222222222,
              "#3e4989"
             ],
             [
              0.3333333333333333,
              "#31688e"
             ],
             [
              0.4444444444444444,
              "#26828e"
             ],
             [
              0.5555555555555556,
              "#1f9e89"
             ],
             [
              0.6666666666666666,
              "#35b779"
             ],
             [
              0.7777777777777778,
              "#6ece58"
             ],
             [
              0.8888888888888888,
              "#b5de2b"
             ],
             [
              1,
              "#fde725"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 1,
             "tickcolor": "rgb(36,36,36)",
             "ticks": "outside"
            },
            "colorscale": [
             [
              0,
              "#440154"
             ],
             [
              0.1111111111111111,
              "#482878"
             ],
             [
              0.2222222222222222,
              "#3e4989"
             ],
             [
              0.3333333333333333,
              "#31688e"
             ],
             [
              0.4444444444444444,
              "#26828e"
             ],
             [
              0.5555555555555556,
              "#1f9e89"
             ],
             [
              0.6666666666666666,
              "#35b779"
             ],
             [
              0.7777777777777778,
              "#6ece58"
             ],
             [
              0.8888888888888888,
              "#b5de2b"
             ],
             [
              1,
              "#fde725"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 1,
             "tickcolor": "rgb(36,36,36)",
             "ticks": "outside"
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 1,
              "tickcolor": "rgb(36,36,36)",
              "ticks": "outside"
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 1,
              "tickcolor": "rgb(36,36,36)",
              "ticks": "outside"
             }
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 1,
              "tickcolor": "rgb(36,36,36)",
              "ticks": "outside"
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 1,
              "tickcolor": "rgb(36,36,36)",
              "ticks": "outside"
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 1,
              "tickcolor": "rgb(36,36,36)",
              "ticks": "outside"
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 1,
              "tickcolor": "rgb(36,36,36)",
              "ticks": "outside"
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 1,
              "tickcolor": "rgb(36,36,36)",
              "ticks": "outside"
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 1,
              "tickcolor": "rgb(36,36,36)",
              "ticks": "outside"
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 1,
              "tickcolor": "rgb(36,36,36)",
              "ticks": "outside"
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 1,
              "tickcolor": "rgb(36,36,36)",
              "ticks": "outside"
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 1,
              "tickcolor": "rgb(36,36,36)",
              "ticks": "outside"
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 1,
             "tickcolor": "rgb(36,36,36)",
             "ticks": "outside"
            },
            "colorscale": [
             [
              0,
              "#440154"
             ],
             [
              0.1111111111111111,
              "#482878"
             ],
             [
              0.2222222222222222,
              "#3e4989"
             ],
             [
              0.3333333333333333,
              "#31688e"
             ],
             [
              0.4444444444444444,
              "#26828e"
             ],
             [
              0.5555555555555556,
              "#1f9e89"
             ],
             [
              0.6666666666666666,
              "#35b779"
             ],
             [
              0.7777777777777778,
              "#6ece58"
             ],
             [
              0.8888888888888888,
              "#b5de2b"
             ],
             [
              1,
              "#fde725"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "rgb(237,237,237)"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "rgb(217,217,217)"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "autosize": true,
          "autotypenumbers": "strict",
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 1,
            "tickcolor": "rgb(36,36,36)",
            "ticks": "outside"
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "rgb(103,0,31)"
            ],
            [
             0.1,
             "rgb(178,24,43)"
            ],
            [
             0.2,
             "rgb(214,96,77)"
            ],
            [
             0.3,
             "rgb(244,165,130)"
            ],
            [
             0.4,
             "rgb(253,219,199)"
            ],
            [
             0.5,
             "rgb(247,247,247)"
            ],
            [
             0.6,
             "rgb(209,229,240)"
            ],
            [
             0.7,
             "rgb(146,197,222)"
            ],
            [
             0.8,
             "rgb(67,147,195)"
            ],
            [
             0.9,
             "rgb(33,102,172)"
            ],
            [
             1,
             "rgb(5,48,97)"
            ]
           ],
           "sequential": [
            [
             0,
             "#440154"
            ],
            [
             0.1111111111111111,
             "#482878"
            ],
            [
             0.2222222222222222,
             "#3e4989"
            ],
            [
             0.3333333333333333,
             "#31688e"
            ],
            [
             0.4444444444444444,
             "#26828e"
            ],
            [
             0.5555555555555556,
             "#1f9e89"
            ],
            [
             0.6666666666666666,
             "#35b779"
            ],
            [
             0.7777777777777778,
             "#6ece58"
            ],
            [
             0.8888888888888888,
             "#b5de2b"
            ],
            [
             1,
             "#fde725"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#440154"
            ],
            [
             0.1111111111111111,
             "#482878"
            ],
            [
             0.2222222222222222,
             "#3e4989"
            ],
            [
             0.3333333333333333,
             "#31688e"
            ],
            [
             0.4444444444444444,
             "#26828e"
            ],
            [
             0.5555555555555556,
             "#1f9e89"
            ],
            [
             0.6666666666666666,
             "#35b779"
            ],
            [
             0.7777777777777778,
             "#6ece58"
            ],
            [
             0.8888888888888888,
             "#b5de2b"
            ],
            [
             1,
             "#fde725"
            ]
           ]
          },
          "colorway": [
           "#1F77B4",
           "#FF7F0E",
           "#2CA02C",
           "#D62728",
           "#9467BD",
           "#8C564B",
           "#E377C2",
           "#7F7F7F",
           "#BCBD22",
           "#17BECF"
          ],
          "font": {
           "color": "rgb(36,36,36)"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "white",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "height": 250,
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "margin": {
           "b": 10,
           "l": 10,
           "r": 10,
           "t": 10
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "white",
          "polar": {
           "angularaxis": {
            "gridcolor": "rgb(232,232,232)",
            "linecolor": "rgb(36,36,36)",
            "showgrid": false,
            "showline": true,
            "ticks": "outside"
           },
           "bgcolor": "white",
           "radialaxis": {
            "gridcolor": "rgb(232,232,232)",
            "linecolor": "rgb(36,36,36)",
            "showgrid": false,
            "showline": true,
            "ticks": "outside"
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "white",
            "gridcolor": "rgb(232,232,232)",
            "gridwidth": 2,
            "linecolor": "rgb(36,36,36)",
            "showbackground": true,
            "showgrid": false,
            "showline": true,
            "ticks": "outside",
            "zeroline": false,
            "zerolinecolor": "rgb(36,36,36)"
           },
           "yaxis": {
            "backgroundcolor": "white",
            "gridcolor": "rgb(232,232,232)",
            "gridwidth": 2,
            "linecolor": "rgb(36,36,36)",
            "showbackground": true,
            "showgrid": false,
            "showline": true,
            "ticks": "outside",
            "zeroline": false,
            "zerolinecolor": "rgb(36,36,36)"
           },
           "zaxis": {
            "backgroundcolor": "white",
            "gridcolor": "rgb(232,232,232)",
            "gridwidth": 2,
            "linecolor": "rgb(36,36,36)",
            "showbackground": true,
            "showgrid": false,
            "showline": true,
            "ticks": "outside",
            "zeroline": false,
            "zerolinecolor": "rgb(36,36,36)"
           }
          },
          "shapedefaults": {
           "fillcolor": "black",
           "line": {
            "width": 0
           },
           "opacity": 0.3
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "rgb(232,232,232)",
            "linecolor": "rgb(36,36,36)",
            "showgrid": false,
            "showline": true,
            "ticks": "outside"
           },
           "baxis": {
            "gridcolor": "rgb(232,232,232)",
            "linecolor": "rgb(36,36,36)",
            "showgrid": false,
            "showline": true,
            "ticks": "outside"
           },
           "bgcolor": "white",
           "caxis": {
            "gridcolor": "rgb(232,232,232)",
            "linecolor": "rgb(36,36,36)",
            "showgrid": false,
            "showline": true,
            "ticks": "outside"
           }
          },
          "title": {
           "x": 0.5,
           "xanchor": "center"
          },
          "width": 350,
          "xaxis": {
           "automargin": true,
           "gridcolor": "rgb(232,232,232)",
           "linecolor": "rgb(36,36,36)",
           "showgrid": true,
           "showline": true,
           "ticks": "outside",
           "title": {
            "standoff": 15
           },
           "zeroline": false,
           "zerolinecolor": "rgb(36,36,36)"
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "rgb(232,232,232)",
           "linecolor": "rgb(36,36,36)",
           "showgrid": true,
           "showline": true,
           "ticks": "outside",
           "title": {
            "standoff": 15
           },
           "zeroline": false,
           "zerolinecolor": "rgb(36,36,36)"
          }
         }
        },
        "width": 350,
        "xaxis": {
         "anchor": "y",
         "autorange": true,
         "domain": [
          0,
          1
         ],
         "range": [
          0.09000000000000002,
          0.2899999999999999
         ],
         "title": {
          "text": "Bootstrapped humidity coefficient"
         },
         "type": "linear"
        },
        "yaxis": {
         "anchor": "x",
         "autorange": true,
         "domain": [
          0,
          1
         ],
         "range": [
          0,
          794.7368421052631
         ],
         "title": {
          "text": "count"
         }
        }
       }
      },
      "image/png": "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",
      "image/svg+xml": [
       "<svg class=\"main-svg\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"350\" height=\"250\" style=\"\" viewBox=\"0 0 350 250\"><rect x=\"0\" y=\"0\" width=\"350\" height=\"250\" style=\"fill: rgb(255, 255, 255); fill-opacity: 1;\"/><defs id=\"defs-26b101\"><g class=\"clips\"><clipPath id=\"clip26b101xyplot\" class=\"plotclip\"><rect width=\"276\" height=\"181\"/></clipPath><clipPath class=\"axesclip\" id=\"clip26b101x\"><rect x=\"64\" y=\"0\" width=\"276\" height=\"250\"/></clipPath><clipPath class=\"axesclip\" id=\"clip26b101y\"><rect x=\"0\" y=\"10\" width=\"350\" height=\"181\"/></clipPath><clipPath class=\"axesclip\" id=\"clip26b101xy\"><rect x=\"64\" y=\"10\" width=\"276\" height=\"181\"/></clipPath></g><g class=\"gradients\"/><g class=\"patterns\"/></defs><g class=\"bglayer\"/><g class=\"layer-below\"><g class=\"imagelayer\"/><g class=\"shapelayer\"/></g><g class=\"cartesianlayer\"><g class=\"subplot xy\"><g class=\"layer-subplot\"><g class=\"shapelayer\"/><g class=\"imagelayer\"/></g><g class=\"gridlayer\"><g class=\"x\"><path class=\"xgrid crisp\" transform=\"translate(77.8,0)\" d=\"M0,10v181\" style=\"stroke: rgb(232, 232, 232); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(146.8,0)\" d=\"M0,10v181\" style=\"stroke: rgb(232, 232, 232); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(215.8,0)\" d=\"M0,10v181\" style=\"stroke: rgb(232, 232, 232); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(284.8,0)\" d=\"M0,10v181\" style=\"stroke: rgb(232, 232, 232); stroke-opacity: 1; stroke-width: 1px;\"/></g><g class=\"y\"><path class=\"ygrid crisp\" transform=\"translate(0,145.45)\" d=\"M64,0h276\" style=\"stroke: rgb(232, 232, 232); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,99.9)\" d=\"M64,0h276\" style=\"stroke: rgb(232, 232, 232); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,54.35)\" d=\"M64,0h276\" style=\"stroke: rgb(232, 232, 232); stroke-opacity: 1; stroke-width: 1px;\"/></g></g><g class=\"zerolinelayer\"/><path class=\"xlines-below\"/><path class=\"ylines-below\"/><g class=\"overlines-below\"/><g class=\"xaxislayer-below\"/><g class=\"yaxislayer-below\"/><g class=\"overaxes-below\"/><g class=\"plot\" transform=\"translate(64,10)\" clip-path=\"url(#clip26b101xyplot)\"><g class=\"barlayer mlayer\"><g class=\"trace bars\" style=\"opacity: 1;\"><g class=\"points\"><g class=\"point\"><path d=\"M0,181V180.77H6.9V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M6.9,181V179.86H13.8V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M13.8,181V180.54H20.7V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M20.7,181V180.09H27.6V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M27.6,181V179.18H34.5V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M34.5,181V178.72H41.4V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M41.4,181V175.76H48.3V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M48.3,181V173.03H55.2V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M55.2,181V168.25H62.1V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M62.1,181V164.6H69V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M69,181V155.49H75.9V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M75.9,181V145.7H82.8V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M82.8,181V133.4H89.7V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M89.7,181V125.2H96.6V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M96.6,181V101.97H103.5V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M103.5,181V84.66H110.4V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M110.4,181V77.37H117.3V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M117.3,181V51.41H124.2V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M124.2,181V23.85H131.1V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M131.1,181V20.44H138V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M138,181V9.51H144.9V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M144.9,181V9.96H151.8V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M151.8,181V9.05H158.7V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M158.7,181V22.71H165.6V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M165.6,181V36.84H172.5V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M172.5,181V62.57H179.4V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M179.4,181V74.87H186.3V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M186.3,181V96.51H193.2V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M193.2,181V113.81H200.1V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M200.1,181V134.54H207V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M207,181V146.38H213.9V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M213.9,181V155.95H220.8V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M220.8,181V164.37H227.7V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M227.7,181V170.3H234.6V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M234.6,181V175.99H241.5V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M241.5,181V177.81H248.4V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M248.4,181V179.86H255.3V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M255.3,181V180.32H262.2V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M262.2,181V180.09H269.1V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g><g class=\"point\"><path d=\"M269.1,181V180.77H276V181Z\" style=\"vector-effect: non-scaling-stroke; opacity: 1; stroke-width: 0.6px; fill: rgb(31, 119, 180); fill-opacity: 1; stroke: rgb(255, 255, 255); stroke-opacity: 1;\"/></g></g></g></g></g><g class=\"overplot\"/><path class=\"xlines-above crisp\" d=\"M63,191.5H340\" style=\"fill: none; stroke-width: 1px; stroke: rgb(36, 36, 36); stroke-opacity: 1;\"/><path class=\"ylines-above crisp\" d=\"M63.5,10V191\" style=\"fill: none; stroke-width: 1px; stroke: rgb(36, 36, 36); stroke-opacity: 1;\"/><g class=\"overlines-above\"/><g class=\"xaxislayer-above\"><path class=\"xtick ticks crisp\" d=\"M0,192v5\" transform=\"translate(77.8,0)\" style=\"stroke: rgb(68, 68, 68); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xtick ticks crisp\" d=\"M0,192v5\" transform=\"translate(146.8,0)\" style=\"stroke: rgb(68, 68, 68); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xtick ticks crisp\" d=\"M0,192v5\" transform=\"translate(215.8,0)\" style=\"stroke: rgb(68, 68, 68); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xtick ticks crisp\" d=\"M0,192v5\" transform=\"translate(284.8,0)\" style=\"stroke: rgb(68, 68, 68); stroke-opacity: 1; stroke-width: 1px;\"/><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"211.4\" transform=\"translate(77.8,0)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(36, 36, 36); fill-opacity: 1; white-space: pre; opacity: 1;\">0.1</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"211.4\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(36, 36, 36); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(146.8,0)\">0.15</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"211.4\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(36, 36, 36); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(215.8,0)\">0.2</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"211.4\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(36, 36, 36); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(284.8,0)\">0.25</text></g></g><g class=\"yaxislayer-above\"><path class=\"ytick ticks crisp\" d=\"M63,0h-5\" transform=\"translate(0,191)\" style=\"stroke: rgb(68, 68, 68); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ytick ticks crisp\" d=\"M63,0h-5\" transform=\"translate(0,145.45)\" style=\"stroke: rgb(68, 68, 68); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ytick ticks crisp\" d=\"M63,0h-5\" transform=\"translate(0,99.9)\" style=\"stroke: rgb(68, 68, 68); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ytick ticks crisp\" d=\"M63,0h-5\" transform=\"translate(0,54.35)\" style=\"stroke: rgb(68, 68, 68); stroke-opacity: 1; stroke-width: 1px;\"/><g class=\"ytick\"><text text-anchor=\"end\" x=\"55.6\" y=\"4.199999999999999\" transform=\"translate(0,191)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(36, 36, 36); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"55.6\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(36, 36, 36); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,145.45)\">200</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"55.6\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(36, 36, 36); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,99.9)\">400</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"55.6\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(36, 36, 36); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,54.35)\">600</text></g></g><g class=\"overaxes-above\"/></g></g><g class=\"polarlayer\"/><g class=\"smithlayer\"/><g class=\"ternarylayer\"/><g class=\"geolayer\"/><g class=\"funnelarealayer\"/><g class=\"pielayer\"/><g class=\"iciclelayer\"/><g class=\"treemaplayer\"/><g class=\"sunburstlayer\"/><g class=\"glimages\"/><defs id=\"topdefs-26b101\"><g class=\"clips\"/></defs><g class=\"layer-above\"><g class=\"imagelayer\"/><g class=\"shapelayer\"/></g><g class=\"infolayer\"><g class=\"g-gtitle\"/><g class=\"g-xtitle\"><text class=\"xtitle\" x=\"202\" y=\"239.70625\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(36, 36, 36); opacity: 1; font-weight: normal; white-space: pre;\">Bootstrapped humidity coefficient</text></g><g class=\"g-ytitle\" transform=\"translate(4.7841796875,0)\"><text class=\"ytitle\" transform=\"rotate(-90,10.215625000000003,100.5)\" x=\"10.215625000000003\" y=\"100.5\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(36, 36, 36); opacity: 1; font-weight: normal; white-space: pre;\">count</text></g></g></svg>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "px.histogram(x=boot_theta_hat, nbins=50,\n",
    "             labels=dict(x='Bootstrapped humidity coefficient'),\n",
    "             width=350, height=250)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By design, the center of the bootstrap sampling distribution will be near $\\hat{\\theta}$ because the bootstrap population consists of the observed data. \n",
    "So, rather than compute the chance of a value at least as large as the observed statistic, we find the chance of a value at least as small as 0.\n",
    "The hypothesized value of 0 is far from the sampling distribution. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sum(boot_theta_hat < 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "None of the 10,000 simulated regression coefficients are as small as the hypothesized coefficient. Statistical logic leads us to reject the null hypothesis that we do not need to adjust the model for humidity. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The form of the hypothesis test we performed here looks different than the earlier tests because the sampling distribution of the statistic is not centered on the null. That is because we are using the bootstrap to create the sampling distribution. We are, in effect, using a confidence interval for the coefficient to test the hypothesis.  In the next section we introduce interval estimates more generally, including those based on the bootstrap, and we connect the concepts of hypothesis testing and confidence intervals."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
